What are the solutions to the equation 4m^2-5m=8 ?

The solutions to the equation 4m^2-5m=8 are m=(5+3sqrt(17))/8 ,m=(5-3sqrt(17))/8

Find the zeros of 4m^2-5m=8

The zeros of 4m^2-5m=8 are m=(5+3sqrt(17))/8 ,m=(5-3sqrt(17))/8

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4 m^{2} - 5 m = 8

m = \frac{5 + 3 17}{8}, m = \frac{5 - 3 17}{8}

Decimal Notation

m = 2.17116 \dots, m = - 0.92116 \dots

Solution steps

4 m^{2} - 5 m = 8

Move

8

to the left side

4 m^{2} - 5 m - 8 = 0

Solve with the quadratic formula

m_{1, 2} = \frac{- ( - 5 ) \pm ( - 5 ) ^{2} - 4 \cdot 4 ( - 8 )}{2 \cdot 4}

(- 5)^{2} - 4 \cdot 4 (- 8) = 317

m_{1, 2} = \frac{- ( - 5 ) \pm 3 17}{2 \cdot 4}

Separate the solutions

m_{1} = \frac{- ( - 5 ) + 3 17}{2 \cdot 4}, m_{2} = \frac{- ( - 5 ) - 3 17}{2 \cdot 4}

m = \frac{- ( - 5 ) + 3 17}{2 \cdot 4} : \frac{5 + 3 17}{8}

m = \frac{- ( - 5 ) - 3 17}{2 \cdot 4} : \frac{5 - 3 17}{8}

The solutions to the quadratic equation are:

m = \frac{5 + 3 17}{8}, m = \frac{5 - 3 17}{8}

4 p + 1 > - 7 or 6 p + 3 < 33

2 x + 5 \geq 3 - 7 x

\frac{9}{2 45}

(x - 2) (x + 8) = 0

- \frac{1}{3} \cdot 12

What are the solutions to the equation 4m^2-5m=8 ?
The solutions to the equation 4m^2-5m=8 are m=(5+3sqrt(17))/8 ,m=(5-3sqrt(17))/8
Find the zeros of 4m^2-5m=8
The zeros of 4m^2-5m=8 are m=(5+3sqrt(17))/8 ,m=(5-3sqrt(17))/8