How do you solve x^2 - 6x +8 = 0 ?

Mar 24, 2018

The zeroes are 2 and 4

Explanation:

${x}^{2}$ - 6x + 8 = 0
${x}^{2}$ - 4x -2x + 8 = 0
x(x - 4) - 2(x - 4) = 0
(x - 2)(x - 4) = 0
x - 2 = 0 or x - 4 = 0
x = 2 or x = 4

Mar 24, 2018

$x = 2 , 4$

Explanation:

Solve:

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

Factor.

$\left(x - 2\right) \left(x - 4\right) = 0$

Solve for $x$.

$x - 2 = 0$

$x = 2$

$x - 4 = 0$

$x = 4$

$x = 2 , 4$

graph{y=x^2-6x+8 [-10, 10, -5, 5]}