Question

Explain how the solutions of x2 + 5x - 24 = 0 differ from the solutions of
x2 + 5x - 24 ≤ 0.

Answer 1

In the first equation x is the same as 3 or -8

while in the second one x is within the range of -8 and 3

Explanation:

X²+5x-24=0

p=-24

s=5 (8,-3)

(X²+8x)-(3x-24)=0

x(x+8)-3(x+8)=0

(x-3)(x+8)=0

x-3=0 x+8=0

X=3 x=-8

these are the solutions for both equationsbut in equation 2 it will be

-8≤≤