What are the solutions to the equation 5x^2+5x-9=0 ?

The solutions to the equation 5x^2+5x-9=0 are x=(-5+sqrt(205))/(10),x=(-5-sqrt(205))/(10)

Find the zeros of 5x^2+5x-9=0

The zeros of 5x^2+5x-9=0 are x=(-5+sqrt(205))/(10),x=(-5-sqrt(205))/(10)

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5 x^{2} + 5 x - 9 = 0

x = \frac{- 5 + 205}{10}, x = \frac{- 5 - 205}{10}

Decimal Notation

x = 0.93178 \dots, x = - 1.93178 \dots

Solution steps

5 x^{2} + 5 x - 9 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 5 \pm 5 ^{2} - 4 \cdot 5 ( - 9 )}{2 \cdot 5}

5^{2} - 4 \cdot 5 (- 9) = 205

x_{1, 2} = \frac{- 5 \pm 205}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- 5 + 205}{2 \cdot 5}, x_{2} = \frac{- 5 - 205}{2 \cdot 5}

x = \frac{- 5 + 205}{2 \cdot 5} : \frac{- 5 + 205}{10}

x = \frac{- 5 - 205}{2 \cdot 5} : \frac{- 5 - 205}{10}

The solutions to the quadratic equation are:

x = \frac{- 5 + 205}{10}, x = \frac{- 5 - 205}{10}

(5 x + 6)^{2} + 24 = 33

4 x^{2} - 12 x + 9 = 0

4 b^{2} - 8 b - 10 = - 5

25 x^{2} - 8 x = 12 x - 4

3 x^{2} - 5 = 25

What are the solutions to the equation 5x^2+5x-9=0 ?
The solutions to the equation 5x^2+5x-9=0 are x=(-5+sqrt(205))/(10),x=(-5-sqrt(205))/(10)
Find the zeros of 5x^2+5x-9=0
The zeros of 5x^2+5x-9=0 are x=(-5+sqrt(205))/(10),x=(-5-sqrt(205))/(10)