What are the solutions to the equation -8x^2-11x-2=0 ?

The solutions to the equation -8x^2-11x-2=0 are x=-(11+sqrt(57))/(16),x=-(11-sqrt(57))/(16)

Find the zeros of -8x^2-11x-2=0

The zeros of -8x^2-11x-2=0 are x=-(11+sqrt(57))/(16),x=-(11-sqrt(57))/(16)

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- 8 x^{2} - 11 x - 2 = 0

x = - \frac{11 + 57}{16}, x = - \frac{11 - 57}{16}

Decimal Notation

x = - 1.15936 \dots, x = - 0.21563 \dots

Solution steps

- 8 x^{2} - 11 x - 2 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 11 ) \pm ( - 11 ) ^{2} - 4 ( - 8 ) ( - 2 )}{2 ( - 8 )}

(- 11)^{2} - 4 (- 8) (- 2) = 57

x_{1, 2} = \frac{- ( - 11 ) \pm 57}{2 ( - 8 )}

Separate the solutions

x_{1} = \frac{- ( - 11 ) + 57}{2 ( - 8 )}, x_{2} = \frac{- ( - 11 ) - 57}{2 ( - 8 )}

x = \frac{- ( - 11 ) + 57}{2 ( - 8 )} : - \frac{11 + 57}{16}

x = \frac{- ( - 11 ) - 57}{2 ( - 8 )} : - \frac{11 - 57}{16}

The solutions to the quadratic equation are:

x = - \frac{11 + 57}{16}, x = - \frac{11 - 57}{16}

\frac{( x + 2 ) ^{2}}{9} = \frac{2}{3} - \frac{( x + 3 ) ( x - 3 )}{5}

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

x^{2} = 12 + 4 x

x^{2} - \frac{x}{5} = 0

x^{2} - 14 x = 120

What are the solutions to the equation -8x^2-11x-2=0 ?
The solutions to the equation -8x^2-11x-2=0 are x=-(11+sqrt(57))/(16),x=-(11-sqrt(57))/(16)
Find the zeros of -8x^2-11x-2=0
The zeros of -8x^2-11x-2=0 are x=-(11+sqrt(57))/(16),x=-(11-sqrt(57))/(16)