For what values of x is x2 + 2x = 24 true?

–6 and –4
–4 and 6
4 and –6
6 and 4

You can solve this 2 ways: plug in all of the options or solve for x.
i going to solve for x.

given: x^2+2x=24     (subtract 24 on both sides to get make it look like x^2+x+1)

x^2+2x-24=0    (now factor x^2+2x-24 out)

x^2+2x-24 --> (x-4)(x+6)

new equation: (x-4)(x+6)=0   (now make them both equl zero)

new equaions:    x-4=0      x+6=0     (now solve for x for both)

x-4=0        x+6=0
   x=4            x=-6
your answer is 4 and -6.
if you were not taught how to do what i just did then i can message you how to plug those numbers into  x^2+2x=24 to find the answer.

Ifound this on google “that means that the graph of a function with direct variation has these features: it is a straight line: because the slope is the ratio y/x = k. it passes through the origin (0,0): because y = kx = k (0) = 0.” i hope this you for what your looking for