What are the solutions to the equation -4x^2+5x+5=0 ?

The solutions to the equation -4x^2+5x+5=0 are x=-(-5+sqrt(105))/8 ,x=(5+sqrt(105))/8

Find the zeros of -4x^2+5x+5=0

The zeros of -4x^2+5x+5=0 are x=-(-5+sqrt(105))/8 ,x=(5+sqrt(105))/8

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- 4 x^{2} + 5 x + 5 = 0

x = - \frac{- 5 + 105}{8}, x = \frac{5 + 105}{8}

Decimal Notation

x = - 0.65586 \dots, x = 1.90586 \dots

Solution steps

- 4 x^{2} + 5 x + 5 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 5 \pm 5 ^{2} - 4 ( - 4 ) \cdot 5}{2 ( - 4 )}

5^{2} - 4 (- 4) \cdot 5 = 105

x_{1, 2} = \frac{- 5 \pm 105}{2 ( - 4 )}

Separate the solutions

x_{1} = \frac{- 5 + 105}{2 ( - 4 )}, x_{2} = \frac{- 5 - 105}{2 ( - 4 )}

x = \frac{- 5 + 105}{2 ( - 4 )} : - \frac{- 5 + 105}{8}

x = \frac{- 5 - 105}{2 ( - 4 )} : \frac{5 + 105}{8}

The solutions to the quadratic equation are:

x = - \frac{- 5 + 105}{8}, x = \frac{5 + 105}{8}

1 - 4 x - x^{2}

x^{2} - 13 x + 4 = 17

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

4.5 x^{2} + 2 = 32.7

(5 x + 3) (x - 2) = 8 (x - 2)

What are the solutions to the equation -4x^2+5x+5=0 ?
The solutions to the equation -4x^2+5x+5=0 are x=-(-5+sqrt(105))/8 ,x=(5+sqrt(105))/8
Find the zeros of -4x^2+5x+5=0
The zeros of -4x^2+5x+5=0 are x=-(-5+sqrt(105))/8 ,x=(5+sqrt(105))/8