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

The solutions to the equation 5x^2+5x-2=0 are x=(-5+sqrt(65))/(10),x=(-5-sqrt(65))/(10)

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

The zeros of 5x^2+5x-2=0 are x=(-5+sqrt(65))/(10),x=(-5-sqrt(65))/(10)

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

x = \frac{- 5 + 65}{10}, x = \frac{- 5 - 65}{10}

Decimal Notation

x = 0.30622 \dots, x = - 1.30622 \dots

Solution steps

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

Solve with the quadratic formula

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

5^{2} - 4 \cdot 5 (- 2) = 65

x_{1, 2} = \frac{- 5 \pm 65}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- 5 + 65}{2 \cdot 5}, x_{2} = \frac{- 5 - 65}{2 \cdot 5}

x = \frac{- 5 + 65}{2 \cdot 5} : \frac{- 5 + 65}{10}

x = \frac{- 5 - 65}{2 \cdot 5} : \frac{- 5 - 65}{10}

The solutions to the quadratic equation are:

x = \frac{- 5 + 65}{10}, x = \frac{- 5 - 65}{10}

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

4 b^{2} + 8 b + 7 = 0

x^{2} + 2 x = 8

- 2 x^{2} - 16 x - 31

2 x^{2} = 18 x - 36

What are the solutions to the equation 5x^2+5x-2=0 ?
The solutions to the equation 5x^2+5x-2=0 are x=(-5+sqrt(65))/(10),x=(-5-sqrt(65))/(10)
Find the zeros of 5x^2+5x-2=0
The zeros of 5x^2+5x-2=0 are x=(-5+sqrt(65))/(10),x=(-5-sqrt(65))/(10)