What are the solutions to the equation -5x^2+5x+3=0 ?

The solutions to the equation -5x^2+5x+3=0 are x=-(-5+sqrt(85))/(10),x=(5+sqrt(85))/(10)

Find the zeros of -5x^2+5x+3=0

The zeros of -5x^2+5x+3=0 are x=-(-5+sqrt(85))/(10),x=(5+sqrt(85))/(10)

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- 5 x^{2} + 5 x + 3 = 0

x = - \frac{- 5 + 85}{10}, x = \frac{5 + 85}{10}

Decimal

x = - 0.42195 \dots, x = 1.42195 \dots

Solution steps

- 5 x^{2} + 5 x + 3 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 5 \pm 5 ^{2} - 4 ( - 5 ) \cdot 3}{2 ( - 5 )}

5^{2} - 4 (- 5) \cdot 3 = 85

x_{1, 2} = \frac{- 5 \pm 85}{2 ( - 5 )}

Separate the solutions

x_{1} = \frac{- 5 + 85}{2 ( - 5 )}, x_{2} = \frac{- 5 - 85}{2 ( - 5 )}

x = \frac{- 5 + 85}{2 ( - 5 )} : - \frac{- 5 + 85}{10}

x = \frac{- 5 - 85}{2 ( - 5 )} : \frac{5 + 85}{10}

The solutions to the quadratic equation are:

x = - \frac{- 5 + 85}{10}, x = \frac{5 + 85}{10}

(x - 1)^{2} + (x - 8)^{2} = x^{2}

3 x^{2} - 26 x + 2 = 0

x^{2} - 14 x + 16 = - 8

x^{2} + 6 x = - 25

2 x^{2} - 17 x + 36 = 0

What are the solutions to the equation -5x^2+5x+3=0 ?
The solutions to the equation -5x^2+5x+3=0 are x=-(-5+sqrt(85))/(10),x=(5+sqrt(85))/(10)
Find the zeros of -5x^2+5x+3=0
The zeros of -5x^2+5x+3=0 are x=-(-5+sqrt(85))/(10),x=(5+sqrt(85))/(10)