What are the solutions to the equation 6x^2-12x-90=2 ?

The solutions to the equation 6x^2-12x-90=2 are x=(3+7sqrt(3))/3 ,x=(3-7sqrt(3))/3

Find the zeros of 6x^2-12x-90=2

The zeros of 6x^2-12x-90=2 are x=(3+7sqrt(3))/3 ,x=(3-7sqrt(3))/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

6 x^{2} - 12 x - 90 = 2

x = \frac{3 + 7 3}{3}, x = \frac{3 - 7 3}{3}

Decimal Notation

x = 5.04145 \dots, x = - 3.04145 \dots

Solution steps

6 x^{2} - 12 x - 90 = 2

Move

2

to the left side

6 x^{2} - 12 x - 92 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 12 ) \pm ( - 12 ) ^{2} - 4 \cdot 6 ( - 92 )}{2 \cdot 6}

(- 12)^{2} - 4 \cdot 6 (- 92) = 283

x_{1, 2} = \frac{- ( - 12 ) \pm 28 3}{2 \cdot 6}

Separate the solutions

x_{1} = \frac{- ( - 12 ) + 28 3}{2 \cdot 6}, x_{2} = \frac{- ( - 12 ) - 28 3}{2 \cdot 6}

x = \frac{- ( - 12 ) + 28 3}{2 \cdot 6} : \frac{3 + 7 3}{3}

x = \frac{- ( - 12 ) - 28 3}{2 \cdot 6} : \frac{3 - 7 3}{3}

The solutions to the quadratic equation are:

x = \frac{3 + 7 3}{3}, x = \frac{3 - 7 3}{3}

\frac{x ^{2}}{2} = 1

9 x - 5 x^{2} = 0

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

x^{2} + 2 x - 4

5 x^{2} = 3

What are the solutions to the equation 6x^2-12x-90=2 ?
The solutions to the equation 6x^2-12x-90=2 are x=(3+7sqrt(3))/3 ,x=(3-7sqrt(3))/3
Find the zeros of 6x^2-12x-90=2
The zeros of 6x^2-12x-90=2 are x=(3+7sqrt(3))/3 ,x=(3-7sqrt(3))/3