What are the solutions to the equation completesquare 4x^2+20x ?

The solutions to the equation completesquare 4x^2+20x are 4(x+5/2)^2-25

Find the zeros of completesquare 4x^2+20x

The zeros of completesquare 4x^2+20x are 4(x+5/2)^2-25

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} + 20 x

4 (x + \frac{5}{2})^{2} - 25

Solution steps

4 x^{2} + 20 x

Write

4 x^{2} + 20 x

in the form:

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

Factor out

4

4 (x^{2} + 5 x)

2 a = 5 : a = \frac{5}{2}

Add and subtract

(\frac{5}{2})^{2}

4 (x^{2} + 5 x + (\frac{5}{2})^{2} - (\frac{5}{2})^{2})

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

x^{2} + 5 x + (\frac{5}{2})^{2} = (x + \frac{5}{2})^{2}

4 ((x + \frac{5}{2})^{2} - (\frac{5}{2})^{2})

Simplify

4 (x + \frac{5}{2})^{2} - 25

x - 7 = (x - 1)^{2}

x, 25 x^{2} + k x + 4 = 0

4 x^{2} + 20 = 10 x + 3 x^{2} - 4

3 q^{2} - 147 = 0

2 x^{2} - 6 x + 5 = 0

What are the solutions to the equation completesquare 4x^2+20x ?
The solutions to the equation completesquare 4x^2+20x are 4(x+5/2)^2-25
Find the zeros of completesquare 4x^2+20x
The zeros of completesquare 4x^2+20x are 4(x+5/2)^2-25