Answer: [tex]\bold{x = \dfrac{5}{7},\quad x=2}[/tex]
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 = [tex]\dfrac{5}{7}[/tex] and x = 2 solved for x
Graphing - plot the following coordinates: ([tex]\dfrac{5}{7}[/tex], 0) and (2, 0)
