What are the zeros of the function f(x) = x² - 3x - 10?
2 Answers
Apr 21, 2018
Solve the equation
color(red)(ul(bar(|x^2-3x-10=0| to get the zeros.
x^2-3x-10=0
=>x^2-5x+2x-10=0
=>x(x-5)+2(x-5)=0
=>(x+2)(x-5)=0 Hence, the solution set is
color(red)({-2,5} The zeros of the function is
{-2,5} Hope it helps...
Thank you...
:-)
Apr 21, 2018
Explanation:
"to obtain the zeros let "f(x)=0
rArrx^2-3x-10=0larrcolor(blue)"in standard form"
"the factors of - 10 which sum to - 3 are - 5 and + 2"
rArr(x-5)(x+2)=0
"equate each of the factors to zero and solve for x"
x+2=0rArrx=-2
x-5=0rArrx=5
graph{(y-x^2+3x+10)((x+2)^2+(y-0)^2-0.04)((x-5)^2+(y-0)^2-0.04)=0 [-10, 10, -5, 5]}