Extraneous Solutions

Topic Page

Questions

• What are extraneous solutions?
• What are common mistakes students make with respect to extraneous solutions?
• How do extraneous solutions arise?
• How do extraneous solutions arise from radical equations?
• How do I check for extraneous solutions?
• What are some examples of extraneous solutions to equations?
• How do I find the extraneous solution of #sqrt(x+4)=x-2#?
• How do I find the extraneous solution of #y-5=4sqrt(y)#?
• How do I find the extraneous solution of #sqrt(x-1)=x-7#?
• How do I find the extraneous solution of #sqrt(x-3)-sqrt(x)=3#?
• Is the solution of #sqrt(x-3)+sqrt(x)=3# extraneous?
• What are the extraneous solutions for #f(x)=(x^2-16)/(x^3+2x^2+x#?
• How do you solve #1/(6k^2)=1/(3k^2)-1/k# and check for extraneous solutions?
• How do you solve #1/n^2+1/n=1/(2n^2)# and check for extraneous solutions?
• How do you solve #1/(6b^2)+1/(6b)=1/(b^2# and check for extraneous solutions?
• How do you solve #(b+6)/(4b^2)+3/(2b^2)=(b+4)/(2b^2)# and check for extraneous solutions?
• How do you solve #1/x=6/(5x)+1# and check for extraneous solutions?
• How do you solve #1/(6x^2)=1/(2x)+7/(6x^2)# and check for extraneous solutions?
• How do you solve #1/v+(3v+12)/(v^2-5v)=(7v-56)/(v^2-5v)# and check for extraneous solutions?
• How do you solve #1/(m^2-m)+1/m=5/(m^2-m)# and check for extraneous solutions?
• How do you solve #1/(n-8)-1=7/(n-8)# and check for extraneous solutions?
• How do you solve #1/(r-2)+1/(r^2-7r+10)=6/(r-2)# and check for extraneous solutions?
• How do you solve #(r-4)/(5r)=1/(5r)+1# and check for extraneous solutions?
• How do you solve #1+(x^2-5x-24)/(3x)=(x-6)/(3x)# and check for extraneous solutions?
• How do you solve #1=1/(x^2+2x)+(x-1)/x# and check for extraneous solutions?
• How do you solve #(n+5)/(n+8)=1+6/(n+1)# and check for extraneous solutions?
• How do you solve #1/(x^2-5x)=(x+7)/x-1# and check for extraneous solutions?
• How do you solve #(a-2)/(a+3)-1=3/(a+2)# and check for extraneous solutions?
• How do you solve #(p+5)/(p^2+p)=1/(p^2+p)-(p-6)/(p+1)# and check for extraneous solutions?
• How do you solve #5/(n^3+5n^2)=4/(n+5)+1/n^2# and check for extraneous solutions?
• How do you solve #(3x)/9+1/2=x/4+2# and check for extraneous solutions?
• How do you solve #x/6+3/2=(2x)/3-1# and check for extraneous solutions?
• How do you solve #(7x)/5+5/2=x/10+1/5# and check for extraneous solutions?
• How do you solve #5/(8x)-1/2=7/(6x)# and check for extraneous solutions?
• How do you solve #3/(4x)-1/2=2/(3x)-2# and check for extraneous solutions?
• How do you solve #1/6+1/y=1/3# and check for extraneous solutions?
• How do you solve #1/x+2/3=2# and check for extraneous solutions?
• How do you solve #x-7+14/x=2# and check for extraneous solutions?
• How do you solve #x/2+12/x=5# and check for extraneous solutions?
• How do you solve #3/(x-7)=2/(4x+1)# and check for extraneous solutions?
• How do you solve #7/(x+1)=6/(x-5)# and check for extraneous solutions?
• How do you solve #4/(x^2-5x-36)=-1/(x+4)# and check for extraneous solutions?
• How do you solve #(x-2)/(3x+5)=6/(x-3)# and check for extraneous solutions?
• How do you solve #x/(x+4)=2/x# and check for extraneous solutions?
• How do you solve #(x-1)/(7x+6)=2/(x+2)# and check for extraneous solutions?
• How do you solve #3/(2x-9)-2=(5x)/(2x-9)# and check for extraneous solutions?
• How do you solve #3/(x-3)-4=x/(x-3)# and check for extraneous solutions?
• How do you solve #x/(x-2)=3-2/(x-2)# and check for extraneous solutions?
• How do you solve #(3x)/(x+9)+1=x/(x+9)# and check for extraneous solutions?
• How do you solve #5-3/(2x-1)=(x-4)/(2x-1)# and check for extraneous solutions?
• How do you solve #8+6/(x-5)=(x-13)/(x-5)# and check for extraneous solutions?
• How do you solve #1+x/(2-x)=(6x)/(2-x)# and check for extraneous solutions?
• How do you solve #x+(x+5)/(x-7)=(10x-58)/(x-7)# and check for extraneous solutions?
• How do you solve #1-13/x+36/x^2=0# and check for extraneous solutions?
• How do you solve #3/(x+1)-1/(x+4)=(x+12)/(x^2+5x+4)# and check for extraneous solutions?
• How do you solve #6/(x+2)+5/(x-2)=20/(x^2-4)# and check for extraneous solutions?
• How do you solve #7/(x+5)+3/(x-5)=30/(x^2-25)# and check for extraneous solutions?
• How do you solve #3/(x+4)-1/(x+3)=(x+9)/(x^2+7x+12)# and check for extraneous solutions?
• How do you solve #3/(z^2-z-2)+18/(z^2-2z-3)=(z+21)/(z^2-z-2)# and check for extraneous solutions?
• How do you solve #2/(y^2-y-2)+18/(y^2-2y-3)=(y+20)/(y^2-y-2)# and check for extraneous solutions?
• How do you solve #(3x)/(x-4)=(2x)/(x-3)+6/(x^2-7x+12)# and check for extraneous solutions?
• How do you solve #4/(x^2-x-2)+40/(x^2-2x-3)=(x+44)/(x^2-x-2)# and check for extraneous solutions?
• How do you solve #x/(x-2)+1/(x-4)=2/(x^2-6x+8)# and check for extraneous solutions?
• How do you solve #(x-7)/(x-4)+(x+8)/(x-3)=(x+158)/(x^2-7x+12)# and check for extraneous solutions?
• How do you solve #(x+2)/(x+3)-1=1/(3-2x-x^2)# and check for extraneous solutions?
• How do you solve #(x-5)/(x-8)+(x-6)/(x-7)=(x+97)/(x^2-15x+56)# and check for extraneous solutions?
• How do you solve #(x+2)/(x^2-6x-27)+(x-17)/(x^2-2x-63)=(x+1)/(x^2+10x+21)# and check for extraneous solutions?
• How do you solve #(x+3)/(x^2-6x-16)+(x-14)/(x^2-4x-32)=(x+1)/(x^2+6x+8)# and check for extraneous solutions?
• How do you solve #(3x-2)/(x^2-17x+72)-(x-4)/(x^2-20x+96)=(x-6)/(x^2-21x+108)# and check for extraneous solutions?
• How do you solve #(3x-3)/(x^2-13x+40)-(x-6)/(x^2-22x+112)=(x-9)/(x^2-19x+70)# and check for extraneous solutions?
• How do you solve #(x+3)/(x^2-6x-16)+(x-14)/(x^2-4x-32)=(x+1)/(x^2+6x+8)# and check for extraneous solutions?
• How do you solve #(x-6)/(x-4)+(x-7)/(x-3)=(x+111)/(x^2-7x+12)# and check for extraneous solutions?
• How do you solve #(x-4)/(x-7)+(x-5)/(x-6)=(x+164)/(x^2-13x+42)# and check for extraneous solutions?
• How do you solve #(x-4)/(x-8)+(x-5)/(x-7)=(x+143)/(x^2-15x+56)# and check for extraneous solutions?
• How do you solve #(x+5)/(x^2-6x-27)+(x-17)/(x^2-18x+77)=(x+1)/(x^2-14x+33)# and check for extraneous solutions?
• How do you solve #(x+7)/(x^2-3x-18)+(x-17)/(x^2-x-30)=(x+1)/(x^2+8x+15)# and check for extraneous solutions?
• How do you solve #(3x-4)/(x^2-10x+21)-(x-8)/(x^2-18x+77)=(x-5)/(x^2-14x+33)# and check for extraneous solutions?
• How do you solve #(3x-3)/(x^2-13x+40)-(x-7)/(x^2-19x+70)=(x-2)/(x^2-22x+112)# and check for extraneous solutions?
• What is extraneous solution?
• How do you solve #a-5/a=4#?
• How do you solve #9/(b+5)=3/(b-3)#?
• How do you solve #(t+4)/t+3/(t-4)=-16/(t^2-4t)#?
• How do you solve #12/t+t-8=0#?
• How do you solve #1/m=(m-34)/(2m^2)#?
• How do you solve #2/(y+2)+3/y=-y/(y+2)#?
• How do you solve #10/(n^2-1)+(2n-5)/(n-1)=(2n+5)/(n+1)#?
• How do you solve #1/(b+2)+1/(b+2)=3/(b+1)#?
• How do you solve #(7a)/(3a+3)-5/(4a-4)=(3a)/(2a+2)#?
• How do you solve #1=1/(1-a)+a/(a-1)#?
• How do you solve #(2q)/(2q+3)-(2q)/(2q-3)=1#?
• How do you solve #1/(3m)+(6m-9)/(3m)=(3m-3)/(4m)#?
• How do you solve #-4/(x-1)=7/(2-x)+3/(x+1)#?
• What is the value of #x# if #2^3(3^(2x + 3)) = 6(2)^2#?