What are the solutions to the equation completesquare x^2-5x-1 ?

The solutions to the equation completesquare x^2-5x-1 are (x-5/2)^2-29/4

Find the zeros of completesquare x^2-5x-1

The zeros of completesquare x^2-5x-1 are (x-5/2)^2-29/4

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} - 5 x - 1

(x - \frac{5}{2})^{2} - \frac{29}{4}

Solution steps

x^{2} - 5 x - 1

Write

x^{2} - 5 x - 1

in the form:

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

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

Add and subtract

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

x^{2} - 5 x - 1 + (- \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}

(x - \frac{5}{2})^{2} - 1 - (- \frac{5}{2})^{2}

Simplify

(x - \frac{5}{2})^{2} - \frac{29}{4}

x^{2} - 5 x + 8

- 3 x^{2} - 3 = 0

- 0.5 x^{2} + 40 x - 300 = 50

24 x^{2} + 25 (60) x - 25 (900) = 0

x^{2} + 7 x + 20 = 8

What are the solutions to the equation completesquare x^2-5x-1 ?
The solutions to the equation completesquare x^2-5x-1 are (x-5/2)^2-29/4
Find the zeros of completesquare x^2-5x-1
The zeros of completesquare x^2-5x-1 are (x-5/2)^2-29/4