What are the solutions to the equation 2x^2-2sqrt(2)x-24=0 ?

The solutions to the equation 2x^2-2sqrt(2)x-24=0 are x=3sqrt(2),x=-2sqrt(2)

Find the zeros of 2x^2-2sqrt(2)x-24=0

The zeros of 2x^2-2sqrt(2)x-24=0 are x=3sqrt(2),x=-2sqrt(2)

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2 x^{2} - 22 x - 24 = 0

x = 32, x = - 22

Decimal Notation

x = 4.24264 \dots, x = - 2.82842 \dots

Solution steps

2 x^{2} - 22 x - 24 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 2 2 ) \pm ( - 2 2 ) ^{2} - 4 \cdot 2 ( - 24 )}{2 \cdot 2}

(- 22)^{2} - 4 \cdot 2 (- 24) = 102

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

Separate the solutions

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

x = \frac{- ( - 2 2 ) + 10 2}{2 \cdot 2} : 32

x = \frac{- ( - 2 2 ) - 10 2}{2 \cdot 2} : - 22

The solutions to the quadratic equation are:

x = 32, x = - 22

x^{2} - 5 x - 25 = 4

4 x + 12 = x^{2}

x^{2} - 5 = x + 5

x, x^{2} + 2 y^{2} + z = 16

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

What are the solutions to the equation 2x^2-2sqrt(2)x-24=0 ?
The solutions to the equation 2x^2-2sqrt(2)x-24=0 are x=3sqrt(2),x=-2sqrt(2)
Find the zeros of 2x^2-2sqrt(2)x-24=0
The zeros of 2x^2-2sqrt(2)x-24=0 are x=3sqrt(2),x=-2sqrt(2)