Question

How would i do this?

Answer 1

Answer:
`\bold{x = (5)/(7),\quad x=2}`

Explanation:

y = 28x² - 76x + 40

0 = 28x² - 76x + 40 finding the x-intercepts, so replaced y with 0

0 = 4(7x² - 19x + 10) factored out the common term (4)

0 = 7x² - 19x + 10 divided both sides by 4

0 = 7x² -14x -5x + 10 replaced -19x with -14x and -5x

0 = 7x(x - 2) -5(x - 2) factored out common terms from each side

0 = (7x - 5) (x - 2) "undistributed" factors

0 = 7x - 5 and 0 = x - 2 applied zero product property

x =
`(5)/(7)` and x = 2 solved for x

Graphing - plot the following coordinates: (
`(5)/(7)`, 0) and (2, 0)