What are the solutions to the equation 4x^2-14x=8 ?

The solutions to the equation 4x^2-14x=8 are x=4,x=-1/2

Find the zeros of 4x^2-14x=8

The zeros of 4x^2-14x=8 are x=4,x=-1/2

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4 x^{2} - 14 x = 8

x = 4, x = - \frac{1}{2}

Decimal Notation

x = 4, x = - 0.5

Solution steps

4 x^{2} - 14 x = 8

Move

8

to the left side

4 x^{2} - 14 x - 8 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 14 ) \pm ( - 14 ) ^{2} - 4 \cdot 4 ( - 8 )}{2 \cdot 4}

(- 14)^{2} - 4 \cdot 4 (- 8) = 18

x_{1, 2} = \frac{- ( - 14 ) \pm 18}{2 \cdot 4}

Separate the solutions

x_{1} = \frac{- ( - 14 ) + 18}{2 \cdot 4}, x_{2} = \frac{- ( - 14 ) - 18}{2 \cdot 4}

x = \frac{- ( - 14 ) + 18}{2 \cdot 4} : 4

x = \frac{- ( - 14 ) - 18}{2 \cdot 4} : - \frac{1}{2}

The solutions to the quadratic equation are:

x = 4, x = - \frac{1}{2}

\frac{x ^{2}}{5} + \frac{x}{4} = 5

3 y^{2} - 12 = 0

3 x^{2} + 18 x - 1

x^{2} - 18 x + 20 = 3

5 x^{2} - 4 x + 4 = 0

What are the solutions to the equation 4x^2-14x=8 ?
The solutions to the equation 4x^2-14x=8 are x=4,x=-1/2
Find the zeros of 4x^2-14x=8
The zeros of 4x^2-14x=8 are x=4,x=-1/2