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8-15. what are the roots (the solutions when ( y = 0 )) of each of th a…

Question

8-15. what are the roots (the solutions when ( y = 0 )) of each of th
a. ( y = x^2 - 6x + 8 )
b
hint (a):
factor the right side and use the
zero product property.

Explanation:

Step1: Set $y=0$

$x^2 - 6x + 8 = 0$

Step2: Factor the quadratic

$(x-2)(x-4) = 0$

Step3: Apply Zero Product Property

Set each factor equal to 0:
$x-2=0$ or $x-4=0$

Step4: Solve for $x$

$x=2$ or $x=4$

Answer:

$x=2$ and $x=4$