What are the solutions to the equation -4x^2-8x+15=0 ?

The solutions to the equation -4x^2-8x+15=0 are x=-(2+sqrt(19))/2 ,x=(sqrt(19)-2)/2

Find the zeros of -4x^2-8x+15=0

The zeros of -4x^2-8x+15=0 are x=-(2+sqrt(19))/2 ,x=(sqrt(19)-2)/2

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- 4 x^{2} - 8 x + 15 = 0

x = - \frac{2 + 19}{2}, x = \frac{19 - 2}{2}

Decimal Notation

x = - 3.17944 \dots, x = 1.17944 \dots

Solution steps

- 4 x^{2} - 8 x + 15 = 0

Solve with the quadratic formula

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

(- 8)^{2} - 4 (- 4) \cdot 15 = 419

x_{1, 2} = \frac{- ( - 8 ) \pm 4 19}{2 ( - 4 )}

Separate the solutions

x_{1} = \frac{- ( - 8 ) + 4 19}{2 ( - 4 )}, x_{2} = \frac{- ( - 8 ) - 4 19}{2 ( - 4 )}

x = \frac{- ( - 8 ) + 4 19}{2 ( - 4 )} : - \frac{2 + 19}{2}

x = \frac{- ( - 8 ) - 4 19}{2 ( - 4 )} : \frac{19 - 2}{2}

The solutions to the quadratic equation are:

x = - \frac{2 + 19}{2}, x = \frac{19 - 2}{2}

y, y^{2} = x + C x^{3}

(x - 8)^{2} = - 36

11 y^{2} - 12 y + 2 = 0

- 2 x^{2} - 2 x + 40 = 0

x^{2} = 69

What are the solutions to the equation -4x^2-8x+15=0 ?
The solutions to the equation -4x^2-8x+15=0 are x=-(2+sqrt(19))/2 ,x=(sqrt(19)-2)/2
Find the zeros of -4x^2-8x+15=0
The zeros of -4x^2-8x+15=0 are x=-(2+sqrt(19))/2 ,x=(sqrt(19)-2)/2