What are the solutions to the equation 8x^2-8x-1=0 ?

The solutions to the equation 8x^2-8x-1=0 are x=(2+sqrt(6))/4 ,x=(2-sqrt(6))/4

Find the zeros of 8x^2-8x-1=0

The zeros of 8x^2-8x-1=0 are x=(2+sqrt(6))/4 ,x=(2-sqrt(6))/4

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8 x^{2} - 8 x - 1 = 0

x = \frac{2 + 6}{4}, x = \frac{2 - 6}{4}

Decimal Notation

x = 1.11237 \dots, x = - 0.11237 \dots

Solution steps

8 x^{2} - 8 x - 1 = 0

Solve with the quadratic formula

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

(- 8)^{2} - 4 \cdot 8 (- 1) = 46

x_{1, 2} = \frac{- ( - 8 ) \pm 4 6}{2 \cdot 8}

Separate the solutions

x_{1} = \frac{- ( - 8 ) + 4 6}{2 \cdot 8}, x_{2} = \frac{- ( - 8 ) - 4 6}{2 \cdot 8}

x = \frac{- ( - 8 ) + 4 6}{2 \cdot 8} : \frac{2 + 6}{4}

x = \frac{- ( - 8 ) - 4 6}{2 \cdot 8} : \frac{2 - 6}{4}

The solutions to the quadratic equation are:

x = \frac{2 + 6}{4}, x = \frac{2 - 6}{4}

\frac{1}{64}

5 x = - 11

5 x^{2} - 15 x - 50

24 x - 2 x^{2} - 2 x^{3}

8 - ∣ - 6 x - 1 ∣ < 0.5

What are the solutions to the equation 8x^2-8x-1=0 ?
The solutions to the equation 8x^2-8x-1=0 are x=(2+sqrt(6))/4 ,x=(2-sqrt(6))/4
Find the zeros of 8x^2-8x-1=0
The zeros of 8x^2-8x-1=0 are x=(2+sqrt(6))/4 ,x=(2-sqrt(6))/4