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

x=-2" or "x=5

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]}