What are the solutions to the equation 3x^2-8x-30=0 ?

The solutions to the equation 3x^2-8x-30=0 are x=(4+sqrt(106))/3 ,x=(4-sqrt(106))/3

Find the zeros of 3x^2-8x-30=0

The zeros of 3x^2-8x-30=0 are x=(4+sqrt(106))/3 ,x=(4-sqrt(106))/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

3 x^{2} - 8 x - 30 = 0

x = \frac{4 + 106}{3}, x = \frac{4 - 106}{3}

Decimal Notation

x = 4.76521 \dots, x = - 2.09854 \dots

Solution steps

3 x^{2} - 8 x - 30 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 8 ) \pm ( - 8 ) ^{2} - 4 \cdot 3 ( - 30 )}{2 \cdot 3}

(- 8)^{2} - 4 \cdot 3 (- 30) = 2106

x_{1, 2} = \frac{- ( - 8 ) \pm 2 106}{2 \cdot 3}

Separate the solutions

x_{1} = \frac{- ( - 8 ) + 2 106}{2 \cdot 3}, x_{2} = \frac{- ( - 8 ) - 2 106}{2 \cdot 3}

x = \frac{- ( - 8 ) + 2 106}{2 \cdot 3} : \frac{4 + 106}{3}

x = \frac{- ( - 8 ) - 2 106}{2 \cdot 3} : \frac{4 - 106}{3}

The solutions to the quadratic equation are:

x = \frac{4 + 106}{3}, x = \frac{4 - 106}{3}

x, z = x^{2} y^{2}

(x + 1)^{2} + x^{2} = 25

\frac{x ^{2}}{6} - \frac{5 x}{12} - \frac{1}{4} = 0

3000 (1 + r)^{2} + 2000 (1 + r) = 5895.25

x^{2} + 10 x - 119 = 0

What are the solutions to the equation 3x^2-8x-30=0 ?
The solutions to the equation 3x^2-8x-30=0 are x=(4+sqrt(106))/3 ,x=(4-sqrt(106))/3
Find the zeros of 3x^2-8x-30=0
The zeros of 3x^2-8x-30=0 are x=(4+sqrt(106))/3 ,x=(4-sqrt(106))/3