What are the solutions to the equation completesquare 4x^2-8x+7 ?

The solutions to the equation completesquare 4x^2-8x+7 are 4(x-1)^2+3

Find the zeros of completesquare 4x^2-8x+7

The zeros of completesquare 4x^2-8x+7 are 4(x-1)^2+3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

complete the square

4 x^{2} - 8 x + 7

4 (x - 1)^{2} + 3

Solution steps

4 x^{2} - 8 x + 7

Write

4 x^{2} - 8 x + 7

in the form:

x^{2} + 2 a x + a^{2}

Factor out

4

4 (x^{2} - 2 x + \frac{7}{4})

2 a = - 2 : a = - 1

Add and subtract

(- 1)^{2}

4 (x^{2} - 2 x + \frac{7}{4} + (- 1)^{2} - (- 1)^{2})

x^{2} + 2 a x + a^{2} = (x + a)^{2}

x^{2} - 2 x + (- 1)^{2} = (x - 1)^{2}

4 ((x - 1)^{2} + \frac{7}{4} - (- 1)^{2})

Simplify

4 (x - 1)^{2} + 3

4 x^{2} - 8 x + 2

0.01 y^{2} - 0.02 y - 0.01 = 0

3 v^{2} - 48 = 0

x^{2} + 12 x - 364 = 0

x^{2} + 12 x - 3

What are the solutions to the equation completesquare 4x^2-8x+7 ?
The solutions to the equation completesquare 4x^2-8x+7 are 4(x-1)^2+3
Find the zeros of completesquare 4x^2-8x+7
The zeros of completesquare 4x^2-8x+7 are 4(x-1)^2+3