What are the solutions to the equation 2x^2-24=8x ?

The solutions to the equation 2x^2-24=8x are x=6,x=-2

Find the zeros of 2x^2-24=8x

The zeros of 2x^2-24=8x are x=6,x=-2

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2 x^{2} - 24 = 8 x

x = 6, x = - 2

Solution steps

2 x^{2} - 24 = 8 x

Move

8 x

to the left side

2 x^{2} - 24 - 8 x = 0

Write in the standard form

a x^{2} + b x + c = 0

2 x^{2} - 8 x - 24 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 8 ) \pm ( - 8 ) ^{2} - 4 \cdot 2 ( - 24 )}{2 \cdot 2}

(- 8)^{2} - 4 \cdot 2 (- 24) = 16

x_{1, 2} = \frac{- ( - 8 ) \pm 16}{2 \cdot 2}

Separate the solutions

x_{1} = \frac{- ( - 8 ) + 16}{2 \cdot 2}, x_{2} = \frac{- ( - 8 ) - 16}{2 \cdot 2}

x = \frac{- ( - 8 ) + 16}{2 \cdot 2} : 6

x = \frac{- ( - 8 ) - 16}{2 \cdot 2} : - 2

The solutions to the quadratic equation are:

x = 6, x = - 2

4 x^{2} - 24 x + 35 = 0

t^{2} + 2 = 0

2 x^{2} - x + 55 = x^{2} + 10 x + 25

x^{2} + (x + 1)^{2} = 145

x^{2} + (x + 6)^{2} = 260

What are the solutions to the equation 2x^2-24=8x ?
The solutions to the equation 2x^2-24=8x are x=6,x=-2
Find the zeros of 2x^2-24=8x
The zeros of 2x^2-24=8x are x=6,x=-2