What are the solutions to the equation completesquare x^2-3x-1=0 ?

The solutions to the equation completesquare x^2-3x-1=0 are x=(sqrt(13)+3)/2 ,x=(-sqrt(13)+3)/2

Find the zeros of completesquare x^2-3x-1=0

The zeros of completesquare x^2-3x-1=0 are x=(sqrt(13)+3)/2 ,x=(-sqrt(13)+3)/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x^{2} - 3 x - 1 = 0

x = \frac{13 + 3}{2}, x = \frac{- 13 + 3}{2}

Decimal Notation

x = 3.30277 \dots, x = - 0.30277 \dots

Solution steps

x^{2} - 3 x - 1 = 0

Move

1

to the right side

x^{2} - 3 x = 1

Rewrite in the form

(x + a)^{2} = b

(x - \frac{3}{2})^{2} = \frac{13}{4}

For

the solutions are

f (x) = a, - a

Solve

x - \frac{3}{2} = \frac{13}{4} : x = \frac{13 + 3}{2}

Solve

x - \frac{3}{2} = - \frac{13}{4} : x = \frac{- 13 + 3}{2}

The solutions to the quadratic equation are:

x = \frac{13 + 3}{2}, x = \frac{- 13 + 3}{2}

x^{2} = 3

4 (6 a - 3)^{2} + 28 = 32

c^{2} = 37

y^{2} - y = 0

x, x^{2} + y^{2} + 4 x - 2 y + 9 = 0

What are the solutions to the equation completesquare x^2-3x-1=0 ?
The solutions to the equation completesquare x^2-3x-1=0 are x=(sqrt(13)+3)/2 ,x=(-sqrt(13)+3)/2
Find the zeros of completesquare x^2-3x-1=0
The zeros of completesquare x^2-3x-1=0 are x=(sqrt(13)+3)/2 ,x=(-sqrt(13)+3)/2