What are the solutions to the equation 2x^2-6x=8 ?

The solutions to the equation 2x^2-6x=8 are x=4,x=-1

Find the zeros of 2x^2-6x=8

The zeros of 2x^2-6x=8 are x=4,x=-1

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2 x^{2} - 6 x = 8

x = 4, x = - 1

Solution steps

2 x^{2} - 6 x = 8

Move

8

to the left side

2 x^{2} - 6 x - 8 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 6 ) \pm ( - 6 ) ^{2} - 4 \cdot 2 ( - 8 )}{2 \cdot 2}

(- 6)^{2} - 4 \cdot 2 (- 8) = 10

x_{1, 2} = \frac{- ( - 6 ) \pm 10}{2 \cdot 2}

Separate the solutions

x_{1} = \frac{- ( - 6 ) + 10}{2 \cdot 2}, x_{2} = \frac{- ( - 6 ) - 10}{2 \cdot 2}

x = \frac{- ( - 6 ) + 10}{2 \cdot 2} : 4

x = \frac{- ( - 6 ) - 10}{2 \cdot 2} : - 1

The solutions to the quadratic equation are:

x = 4, x = - 1

\frac{2 x}{5} - \frac{x}{3} = 3

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

\frac{1}{2 - 3}

\frac{7}{12} - \frac{5}{12}

What are the solutions to the equation 2x^2-6x=8 ?
The solutions to the equation 2x^2-6x=8 are x=4,x=-1
Find the zeros of 2x^2-6x=8
The zeros of 2x^2-6x=8 are x=4,x=-1