What are the solutions to the equation 8m^2-7m-2=0 ?

The solutions to the equation 8m^2-7m-2=0 are m=(7+sqrt(113))/(16),m=(7-sqrt(113))/(16)

Find the zeros of 8m^2-7m-2=0

The zeros of 8m^2-7m-2=0 are m=(7+sqrt(113))/(16),m=(7-sqrt(113))/(16)

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8 m^{2} - 7 m - 2 = 0

m = \frac{7 + 113}{16}, m = \frac{7 - 113}{16}

Decimal Notation

m = 1.10188 \dots, m = - 0.22688 \dots

Solution steps

8 m^{2} - 7 m - 2 = 0

Solve with the quadratic formula

m_{1, 2} = \frac{- ( - 7 ) \pm ( - 7 ) ^{2} - 4 \cdot 8 ( - 2 )}{2 \cdot 8}

(- 7)^{2} - 4 \cdot 8 (- 2) = 113

m_{1, 2} = \frac{- ( - 7 ) \pm 113}{2 \cdot 8}

Separate the solutions

m_{1} = \frac{- ( - 7 ) + 113}{2 \cdot 8}, m_{2} = \frac{- ( - 7 ) - 113}{2 \cdot 8}

m = \frac{- ( - 7 ) + 113}{2 \cdot 8} : \frac{7 + 113}{16}

m = \frac{- ( - 7 ) - 113}{2 \cdot 8} : \frac{7 - 113}{16}

The solutions to the quadratic equation are:

m = \frac{7 + 113}{16}, m = \frac{7 - 113}{16}

3 b^{7} + 12 b^{4} + 12 b

\frac{1}{5} x = 2

5 x^{2} - 30 x + 45

81 t^{2} + 2 = 0

- 6 x^{2} + 56 x = 0

What are the solutions to the equation 8m^2-7m-2=0 ?
The solutions to the equation 8m^2-7m-2=0 are m=(7+sqrt(113))/(16),m=(7-sqrt(113))/(16)
Find the zeros of 8m^2-7m-2=0
The zeros of 8m^2-7m-2=0 are m=(7+sqrt(113))/(16),m=(7-sqrt(113))/(16)