Question

How would i do this?

Answer 1

Answer:   $\bold{x = \dfrac{5}{7},\quad x=2}$

Step-by-step 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 = $\dfrac{5}{7}$     and     x = 2         solved for x

Graphing - plot the following coordinates: ($\dfrac{5}{7}$, 0) and (2, 0)