What are the solutions to the equation -5x^2-15x+10=0 ?

The solutions to the equation -5x^2-15x+10=0 are x=-(3+sqrt(17))/2 ,x=(sqrt(17)-3)/2

Find the zeros of -5x^2-15x+10=0

The zeros of -5x^2-15x+10=0 are x=-(3+sqrt(17))/2 ,x=(sqrt(17)-3)/2

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- 5 x^{2} - 15 x + 10 = 0

x = - \frac{3 + 17}{2}, x = \frac{17 - 3}{2}

Decimal Notation

x = - 3.56155 \dots, x = 0.56155 \dots

Solution steps

- 5 x^{2} - 15 x + 10 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 15 ) \pm ( - 15 ) ^{2} - 4 ( - 5 ) \cdot 10}{2 ( - 5 )}

(- 15)^{2} - 4 (- 5) \cdot 10 = 517

x_{1, 2} = \frac{- ( - 15 ) \pm 5 17}{2 ( - 5 )}

Separate the solutions

x_{1} = \frac{- ( - 15 ) + 5 17}{2 ( - 5 )}, x_{2} = \frac{- ( - 15 ) - 5 17}{2 ( - 5 )}

x = \frac{- ( - 15 ) + 5 17}{2 ( - 5 )} : - \frac{3 + 17}{2}

x = \frac{- ( - 15 ) - 5 17}{2 ( - 5 )} : \frac{17 - 3}{2}

The solutions to the quadratic equation are:

x = - \frac{3 + 17}{2}, x = \frac{17 - 3}{2}

(x + 2) (x - 6) = 0

7 x^{2} - 9 x + 1 = 0

12 y^{2} - 24 y - 36 = 0

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

x^{2} + 2 x - 1 = 0

What are the solutions to the equation -5x^2-15x+10=0 ?
The solutions to the equation -5x^2-15x+10=0 are x=-(3+sqrt(17))/2 ,x=(sqrt(17)-3)/2
Find the zeros of -5x^2-15x+10=0
The zeros of -5x^2-15x+10=0 are x=-(3+sqrt(17))/2 ,x=(sqrt(17)-3)/2