Question

What are the x-intercept(s) of the graph of y + 5x = x2 − 24?

(12, 0) and (−2, 0)
(−12, 0) and (2, 0)
(8, 0) and (−3, 0)
(−8, 0) and (3, 0)

Answer 1

\[\large y + 5x = x^2 - 24\]

We want this to look like

\[\large y = ax^2 + bx + c \]

So lets subtract 5x from both sides of the equation
\[\large y = x^2 - 5x - 24 \]

Now we can use the quadratic formula or complete the square to find the zeros (x-intercepts) of the equation

Answer 2

(x + 3)(x - 8)

Answer 3

so x = -3 x = 8
points (-3, 0) and (8,0)
same as choice C

Answer 4

Perfect :)