Question

$x2 - 10x + 16 = 0$
solution?​

Answer 1

Answer:

x=8 or 2

Step-by-step explanation:

$x ^ { 2 } -10x+16=0$

To solve the equation, factor x^{2}-10x+16 using formula x^{2}+\left(a+b\right)x+ab=\left(x+a\right)\left(x+b\right). To find a and b, set up a system to be solved.

a+b=-10 ab=16

Since ab is positive, a and b have the same sign. Since a+b is negative, a and b are both negative. List all such integer pairs that give product 16.

-1,-16

-2,-8

-4,-4

-1-16=-17

-2-8=-10

-4-4=-8

a=-8

b=-2

$\left(x-8\right)\left(x-2\right)$

so x=8 or 2