the equation 4x² - 16x + 16 = 0 is factorable?​

Sagot :

Answer:

x=2

Step-by-step explanation:

Changes made to your input should not affect the solution:

(1): "x2" was replaced by "x^2".

Step by step solution :

STEP

1

:

Equation at the end of step 1

(22x2 - 16x) + 16 = 0

STEP

2

:

STEP

3

:

Pulling out like terms

3.1 Pull out like factors :

4x2 - 16x + 16 = 4 • (x2 - 4x + 4)

Trying to factor by splitting the middle term

3.2 Factoring x2 - 4x + 4

The first term is, x2 its coefficient is 1 .

The middle term is, -4x its coefficient is -4 .

The last term, "the constant", is +4

Step-1 : Multiply the coefficient of the first term by the constant 1 • 4 = 4

Step-2 : Find two factors of 4 whose sum equals the coefficient of the middle term, which is -4 .

-4 + -1 = -5

-2 + -2 = -4 That's it