What are the solutions to the equation 8x^2-4x-7=0 ?

The solutions to the equation 8x^2-4x-7=0 are x=(1+sqrt(15))/4 ,x=(1-sqrt(15))/4

Find the zeros of 8x^2-4x-7=0

The zeros of 8x^2-4x-7=0 are x=(1+sqrt(15))/4 ,x=(1-sqrt(15))/4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

8 x^{2} - 4 x - 7 = 0

x = \frac{1 + 15}{4}, x = \frac{1 - 15}{4}

Decimal Notation

x = 1.21824 \dots, x = - 0.71824 \dots

Solution steps

8 x^{2} - 4 x - 7 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 4 ) \pm ( - 4 ) ^{2} - 4 \cdot 8 ( - 7 )}{2 \cdot 8}

(- 4)^{2} - 4 \cdot 8 (- 7) = 415

x_{1, 2} = \frac{- ( - 4 ) \pm 4 15}{2 \cdot 8}

Separate the solutions

x_{1} = \frac{- ( - 4 ) + 4 15}{2 \cdot 8}, x_{2} = \frac{- ( - 4 ) - 4 15}{2 \cdot 8}

x = \frac{- ( - 4 ) + 4 15}{2 \cdot 8} : \frac{1 + 15}{4}

x = \frac{- ( - 4 ) - 4 15}{2 \cdot 8} : \frac{1 - 15}{4}

The solutions to the quadratic equation are:

x = \frac{1 + 15}{4}, x = \frac{1 - 15}{4}

2 x^{2} + 3 x = 6 x + 2

5 = x^{2} + 4 x

6 x^{2} - 28 x + 24 = 0

- 0.01 x^{2} + 50 x + 300 = 0

(x - 2) (3 x + 1) = 0

What are the solutions to the equation 8x^2-4x-7=0 ?
The solutions to the equation 8x^2-4x-7=0 are x=(1+sqrt(15))/4 ,x=(1-sqrt(15))/4
Find the zeros of 8x^2-4x-7=0
The zeros of 8x^2-4x-7=0 are x=(1+sqrt(15))/4 ,x=(1-sqrt(15))/4