Question

What are the x-intercept(s) of the graph of y − x2 = −11x + 24?

(−3, 0) and (8, 0)

(3, 0) and (−8, 0)

(−3, 0) and (−8, 0)

(3, 0) and (8, 0)

Answer 1

to get x-intercept, just plug in y=0 in y − x2 = −11x + 24

Answer 2

\(y − x^2 = −11x + 24 \\ − x^2 = −11x + 24\)
can you find 2 values of x from here ?

Answer 3

To find the x-intercept(s) of that graph, we have to solve the equation :
\[ x^2 −11x + 24=0\\
(x-8)(x-3)=0
\\ x=8\text{ or } x=3
\]