What are the solutions to the equation 5x^2-10x-255=0 ?

The solutions to the equation 5x^2-10x-255=0 are x=1+2sqrt(13),x=1-2sqrt(13)

Find the zeros of 5x^2-10x-255=0

The zeros of 5x^2-10x-255=0 are x=1+2sqrt(13),x=1-2sqrt(13)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

5 x^{2} - 10 x - 255 = 0

x = 1 + 213, x = 1 - 213

Decimal Notation

x = 8.21110 \dots, x = - 6.21110 \dots

Solution steps

5 x^{2} - 10 x - 255 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 10 ) \pm ( - 10 ) ^{2} - 4 \cdot 5 ( - 255 )}{2 \cdot 5}

(- 10)^{2} - 4 \cdot 5 (- 255) = 2013

x_{1, 2} = \frac{- ( - 10 ) \pm 20 13}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- ( - 10 ) + 20 13}{2 \cdot 5}, x_{2} = \frac{- ( - 10 ) - 20 13}{2 \cdot 5}

x = \frac{- ( - 10 ) + 20 13}{2 \cdot 5} : 1 + 213

x = \frac{- ( - 10 ) - 20 13}{2 \cdot 5} : 1 - 213

The solutions to the quadratic equation are:

x = 1 + 213, x = 1 - 213

8 x^{2} - x - 9 = 0

x^{2} - 5 x + \frac{9}{4} = 0

- 4 x^{2} + 2 x = 0

2 x^{2} + 6 x + 12 = 0

6 x^{2} - 9 x + 3 = 0

What are the solutions to the equation 5x^2-10x-255=0 ?
The solutions to the equation 5x^2-10x-255=0 are x=1+2sqrt(13),x=1-2sqrt(13)
Find the zeros of 5x^2-10x-255=0
The zeros of 5x^2-10x-255=0 are x=1+2sqrt(13),x=1-2sqrt(13)