What are the solutions to the equation completesquare 2x^2-6x ?

The solutions to the equation completesquare 2x^2-6x are 2(x-3/2)^2-9/2

Find the zeros of completesquare 2x^2-6x

The zeros of completesquare 2x^2-6x are 2(x-3/2)^2-9/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

complete the square

2 x^{2} - 6 x

2 (x - \frac{3}{2})^{2} - \frac{9}{2}

Solution steps

2 x^{2} - 6 x

Write

2 x^{2} - 6 x

in the form:

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

Factor out

2

2 (x^{2} - 3 x)

2 a = - 3 : a = - \frac{3}{2}

Add and subtract

(- \frac{3}{2})^{2}

2 (x^{2} - 3 x + (- \frac{3}{2})^{2} - (- \frac{3}{2})^{2})

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

x^{2} - 3 x + (- \frac{3}{2})^{2} = (x - \frac{3}{2})^{2}

2 ((x - \frac{3}{2})^{2} - (- \frac{3}{2})^{2})

Simplify

2 (x - \frac{3}{2})^{2} - \frac{9}{2}

p, pq x^{2} + (p^{2} - q^{2}) x = pq

12 x^{2} - 224 x + 703 = 0

a, (a + b)^{2} = 81

4 = (x + 2)^{2}

2 x - 1 = x^{2} - 4 x + 4

What are the solutions to the equation completesquare 2x^2-6x ?
The solutions to the equation completesquare 2x^2-6x are 2(x-3/2)^2-9/2
Find the zeros of completesquare 2x^2-6x
The zeros of completesquare 2x^2-6x are 2(x-3/2)^2-9/2