What are the solutions to the equation 3m^2-7m=3 ?

The solutions to the equation 3m^2-7m=3 are m=(7+sqrt(85))/6 ,m=(7-sqrt(85))/6

Find the zeros of 3m^2-7m=3

The zeros of 3m^2-7m=3 are m=(7+sqrt(85))/6 ,m=(7-sqrt(85))/6

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3 m^{2} - 7 m = 3

m = \frac{7 + 85}{6}, m = \frac{7 - 85}{6}

Decimal Notation

m = 2.70325 \dots, m = - 0.36992 \dots

Solution steps

3 m^{2} - 7 m = 3

Move

3

to the left side

3 m^{2} - 7 m - 3 = 0

Solve with the quadratic formula

m_{1, 2} = \frac{- ( - 7 ) \pm ( - 7 ) ^{2} - 4 \cdot 3 ( - 3 )}{2 \cdot 3}

(- 7)^{2} - 4 \cdot 3 (- 3) = 85

m_{1, 2} = \frac{- ( - 7 ) \pm 85}{2 \cdot 3}

Separate the solutions

m_{1} = \frac{- ( - 7 ) + 85}{2 \cdot 3}, m_{2} = \frac{- ( - 7 ) - 85}{2 \cdot 3}

m = \frac{- ( - 7 ) + 85}{2 \cdot 3} : \frac{7 + 85}{6}

m = \frac{- ( - 7 ) - 85}{2 \cdot 3} : \frac{7 - 85}{6}

The solutions to the quadratic equation are:

m = \frac{7 + 85}{6}, m = \frac{7 - 85}{6}

- 3 (w + 5) + 2 = 4 (w + 2)

\frac{10 ( 412.71 ) - ( 500 ) ( 20.898 )}{10 ( 33250 ) - ( 500 ) ^{2}}

\frac{1}{3} (0)

5 5^{2}

10 a^{2} - 13 a - 3

What are the solutions to the equation 3m^2-7m=3 ?
The solutions to the equation 3m^2-7m=3 are m=(7+sqrt(85))/6 ,m=(7-sqrt(85))/6
Find the zeros of 3m^2-7m=3
The zeros of 3m^2-7m=3 are m=(7+sqrt(85))/6 ,m=(7-sqrt(85))/6