What are the solutions to the equation 4x^2-4x-17=0 ?

The solutions to the equation 4x^2-4x-17=0 are x=(1+3sqrt(2))/2 ,x=(1-3sqrt(2))/2

Find the zeros of 4x^2-4x-17=0

The zeros of 4x^2-4x-17=0 are x=(1+3sqrt(2))/2 ,x=(1-3sqrt(2))/2

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4 x^{2} - 4 x - 17 = 0

x = \frac{1 + 3 2}{2}, x = \frac{1 - 3 2}{2}

Decimal Notation

x = 2.62132 \dots, x = - 1.62132 \dots

Solution steps

4 x^{2} - 4 x - 17 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 4 ) \pm ( - 4 ) ^{2} - 4 \cdot 4 ( - 17 )}{2 \cdot 4}

(- 4)^{2} - 4 \cdot 4 (- 17) = 122

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

Separate the solutions

x_{1} = \frac{- ( - 4 ) + 12 2}{2 \cdot 4}, x_{2} = \frac{- ( - 4 ) - 12 2}{2 \cdot 4}

x = \frac{- ( - 4 ) + 12 2}{2 \cdot 4} : \frac{1 + 3 2}{2}

x = \frac{- ( - 4 ) - 12 2}{2 \cdot 4} : \frac{1 - 3 2}{2}

The solutions to the quadratic equation are:

x = \frac{1 + 3 2}{2}, x = \frac{1 - 3 2}{2}

x, h = x^{2} + 3 n x + 81 n^{2} + 1

2 x^{2} + 7 = 5 x

2 x^{2} + 7 = 8 x

3 x^{2} + 12 x - 15 x = 0

- x^{2} + 11 x - 10 = 0

What are the solutions to the equation 4x^2-4x-17=0 ?
The solutions to the equation 4x^2-4x-17=0 are x=(1+3sqrt(2))/2 ,x=(1-3sqrt(2))/2
Find the zeros of 4x^2-4x-17=0
The zeros of 4x^2-4x-17=0 are x=(1+3sqrt(2))/2 ,x=(1-3sqrt(2))/2