What are the solutions to the equation -5x^2+15x+65=0 ?

The solutions to the equation -5x^2+15x+65=0 are x=-(-3+sqrt(61))/2 ,x=(3+sqrt(61))/2

Find the zeros of -5x^2+15x+65=0

The zeros of -5x^2+15x+65=0 are x=-(-3+sqrt(61))/2 ,x=(3+sqrt(61))/2

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- 5 x^{2} + 15 x + 65 = 0

x = - \frac{- 3 + 61}{2}, x = \frac{3 + 61}{2}

Decimal Notation

x = - 2.40512 \dots, x = 5.40512 \dots

Solution steps

- 5 x^{2} + 15 x + 65 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 15 \pm 1 5 ^{2} - 4 ( - 5 ) \cdot 65}{2 ( - 5 )}

1 5^{2} - 4 (- 5) \cdot 65 = 561

x_{1, 2} = \frac{- 15 \pm 5 61}{2 ( - 5 )}

Separate the solutions

x_{1} = \frac{- 15 + 5 61}{2 ( - 5 )}, x_{2} = \frac{- 15 - 5 61}{2 ( - 5 )}

x = \frac{- 15 + 5 61}{2 ( - 5 )} : - \frac{- 3 + 61}{2}

x = \frac{- 15 - 5 61}{2 ( - 5 )} : \frac{3 + 61}{2}

The solutions to the quadratic equation are:

x = - \frac{- 3 + 61}{2}, x = \frac{3 + 61}{2}

x^{2} = - 20 x

4 x^{2} + 169 = 0

x^{2} + 8 x + 2 = 22

8 m^{2} - 3 m + 6 = 0

5 y^{2} - 15 y = 0

What are the solutions to the equation -5x^2+15x+65=0 ?
The solutions to the equation -5x^2+15x+65=0 are x=-(-3+sqrt(61))/2 ,x=(3+sqrt(61))/2
Find the zeros of -5x^2+15x+65=0
The zeros of -5x^2+15x+65=0 are x=-(-3+sqrt(61))/2 ,x=(3+sqrt(61))/2