What are the solutions to the equation completesquare x^2+7x+1 ?

The solutions to the equation completesquare x^2+7x+1 are (x+7/2)^2-45/4

Find the zeros of completesquare x^2+7x+1

The zeros of completesquare x^2+7x+1 are (x+7/2)^2-45/4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

complete the square

x^{2} + 7 x + 1

(x + \frac{7}{2})^{2} - \frac{45}{4}

Solution steps

x^{2} + 7 x + 1

Write

x^{2} + 7 x + 1

in the form:

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

2 a = 7 : a = \frac{7}{2}

Add and subtract

(\frac{7}{2})^{2}

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

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

x^{2} + 7 x + (\frac{7}{2})^{2} = (x + \frac{7}{2})^{2}

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

Simplify

(x + \frac{7}{2})^{2} - \frac{45}{4}

- 2.7 t^{2} + 40 t + 6.5 = 0

1 5^{2} - 1 3^{2} = x^{2}

x^{2} - 5 x + 12 = 2 x^{2} - 6 x + 6

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

144 = 5 x^{2} - 8 x + 11

What are the solutions to the equation completesquare x^2+7x+1 ?
The solutions to the equation completesquare x^2+7x+1 are (x+7/2)^2-45/4
Find the zeros of completesquare x^2+7x+1
The zeros of completesquare x^2+7x+1 are (x+7/2)^2-45/4