# How do you solve #x^2 / ( x-4) - 7 / (x-4) = 0# and find any extraneous solutions?

##### 1 Answer

Jun 10, 2017

#### Answer:

#### Explanation:

#"since the fractions have a "color(blue)"common denominator"#

#"we can combine them by subtracting the numerators"#

#rArr(x^2-7)/(x-4)=0to(x!=4)#

#"equating the numerator to zero"#

#rArrx^2-7=0#

#rArrx^2=7#

#color(blue)"take the square root of both sides"#

#sqrt(x^2)=+-sqrt7larr" note plus or minus"#

#rArrx=+-sqrt7" are the solutions"#