What are the solutions to the equation 2x^2-20x-30=0 ?

The solutions to the equation 2x^2-20x-30=0 are x=5+2sqrt(10),x=5-2sqrt(10)

Find the zeros of 2x^2-20x-30=0

The zeros of 2x^2-20x-30=0 are x=5+2sqrt(10),x=5-2sqrt(10)

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2 x^{2} - 20 x - 30 = 0

x = 5 + 210, x = 5 - 210

Decimal Notation

x = 11.32455 \dots, x = - 1.32455 \dots

Solution steps

2 x^{2} - 20 x - 30 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 20 ) \pm ( - 20 ) ^{2} - 4 \cdot 2 ( - 30 )}{2 \cdot 2}

(- 20)^{2} - 4 \cdot 2 (- 30) = 810

x_{1, 2} = \frac{- ( - 20 ) \pm 8 10}{2 \cdot 2}

Separate the solutions

x_{1} = \frac{- ( - 20 ) + 8 10}{2 \cdot 2}, x_{2} = \frac{- ( - 20 ) - 8 10}{2 \cdot 2}

x = \frac{- ( - 20 ) + 8 10}{2 \cdot 2} : 5 + 210

x = \frac{- ( - 20 ) - 8 10}{2 \cdot 2} : 5 - 210

The solutions to the quadratic equation are:

x = 5 + 210, x = 5 - 210

\frac{1}{4} - \frac{2}{8}

5 \leq \frac{1}{2} x + 7 < 9

x^{3} - 1

4 x^{2} + 21 = 20 x

2 - x^{2} = 10 - 6 x

What are the solutions to the equation 2x^2-20x-30=0 ?
The solutions to the equation 2x^2-20x-30=0 are x=5+2sqrt(10),x=5-2sqrt(10)
Find the zeros of 2x^2-20x-30=0
The zeros of 2x^2-20x-30=0 are x=5+2sqrt(10),x=5-2sqrt(10)