What are the solutions to the equation 5x^2-15x-30=0 ?

The solutions to the equation 5x^2-15x-30=0 are x=(3+sqrt(33))/2 ,x=(3-sqrt(33))/2

Find the zeros of 5x^2-15x-30=0

The zeros of 5x^2-15x-30=0 are x=(3+sqrt(33))/2 ,x=(3-sqrt(33))/2

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5 x^{2} - 15 x - 30 = 0

x = \frac{3 + 33}{2}, x = \frac{3 - 33}{2}

Decimal Notation

x = 4.37228 \dots, x = - 1.37228 \dots

Solution steps

5 x^{2} - 15 x - 30 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 15 ) \pm ( - 15 ) ^{2} - 4 \cdot 5 ( - 30 )}{2 \cdot 5}

(- 15)^{2} - 4 \cdot 5 (- 30) = 533

x_{1, 2} = \frac{- ( - 15 ) \pm 5 33}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- ( - 15 ) + 5 33}{2 \cdot 5}, x_{2} = \frac{- ( - 15 ) - 5 33}{2 \cdot 5}

x = \frac{- ( - 15 ) + 5 33}{2 \cdot 5} : \frac{3 + 33}{2}

x = \frac{- ( - 15 ) - 5 33}{2 \cdot 5} : \frac{3 - 33}{2}

The solutions to the quadratic equation are:

x = \frac{3 + 33}{2}, x = \frac{3 - 33}{2}

a^{2} + 7 a - 18 = 0

\frac{x ^{2}}{2} - 23 = - x + 1

x, (x^{2} + 4) y + x y = 4 x

x, 3 x^{2} - 4 x y + 4 y^{2} + 8 x - 1 = 0

4 x^{2} - 21 x + 20 = 0

What are the solutions to the equation 5x^2-15x-30=0 ?
The solutions to the equation 5x^2-15x-30=0 are x=(3+sqrt(33))/2 ,x=(3-sqrt(33))/2
Find the zeros of 5x^2-15x-30=0
The zeros of 5x^2-15x-30=0 are x=(3+sqrt(33))/2 ,x=(3-sqrt(33))/2