Question

If f(x)=x squared + 3x - 10 then over which of the following intervals is f(x)<0 ?

Answer 1

Given data:

The given function is f(x)= x^2 +3x-10.

The given inequality is,

[tex]\begin{gathered} f(x)<0 \\ x^2+3x-10<0 \\ x^2+5x-2x-10<0 \\ x(x+5)-2(x+5)<0 \\ (x+5)(x-2)<0 \\ -5Thus, the value of x is -5