What are the solutions to the equation 0=5x^2+25x-65 ?

The solutions to the equation 0=5x^2+25x-65 are x=(-5+sqrt(77))/2 ,x=-(5+sqrt(77))/2

Find the zeros of 0=5x^2+25x-65

The zeros of 0=5x^2+25x-65 are x=(-5+sqrt(77))/2 ,x=-(5+sqrt(77))/2

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0 = 5 x^{2} + 25 x - 65

x = \frac{- 5 + 77}{2}, x = - \frac{5 + 77}{2}

Decimal

x = 1.88748 \dots, x = - 6.88748 \dots

Solution steps

0 = 5 x^{2} + 25 x - 65

Switch sides

5 x^{2} + 25 x - 65 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 25 \pm 2 5 ^{2} - 4 \cdot 5 ( - 65 )}{2 \cdot 5}

2 5^{2} - 4 \cdot 5 (- 65) = 577

x_{1, 2} = \frac{- 25 \pm 5 77}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- 25 + 5 77}{2 \cdot 5}, x_{2} = \frac{- 25 - 5 77}{2 \cdot 5}

x = \frac{- 25 + 5 77}{2 \cdot 5} : \frac{- 5 + 77}{2}

x = \frac{- 25 - 5 77}{2 \cdot 5} : - \frac{5 + 77}{2}

The solutions to the quadratic equation are:

x = \frac{- 5 + 77}{2}, x = - \frac{5 + 77}{2}

10 x^{2} + 5 x = 5 x - 8

4 x^{2} - 36 x = - 77

b^{2} + 2 b - 4 = 0

x^{2} - 81 = 0

36 q^{2} - 333 q + 81 = 0

What are the solutions to the equation 0=5x^2+25x-65 ?
The solutions to the equation 0=5x^2+25x-65 are x=(-5+sqrt(77))/2 ,x=-(5+sqrt(77))/2
Find the zeros of 0=5x^2+25x-65
The zeros of 0=5x^2+25x-65 are x=(-5+sqrt(77))/2 ,x=-(5+sqrt(77))/2