Question

PLEASE ANSWER SOON AND ONLY IF YOU KNOW THE ANSWER! I NEED YOUR HELP!

The graphs of
`y = x^2 - 7x + 7` and the line
`y = -3` intersect at two points. What is the sum of the x-coordinates of these two points?

Answer 1

x = 5, x = 2

Explanation:

y=x²-7x+7 but also y=-3

so x²-7x+7=-3

x²-7x+10=0

when factorising think about 2 numbers you multiply by each other tp give 10 but at the same time their sum is 7

-5x-2=10

-5+-2=-7

so (x-5)(x-2)=0

(note: multiply the two brackets to check if ur answer is correct and that it gives x²-7x+10=0)

x-5=0 so x=5

but also x-2=0 so x=2