What are the solutions to the equation 3m^2-7m=5 ?

The solutions to the equation 3m^2-7m=5 are m=(7+sqrt(109))/6 ,m=(7-sqrt(109))/6

Find the zeros of 3m^2-7m=5

The zeros of 3m^2-7m=5 are m=(7+sqrt(109))/6 ,m=(7-sqrt(109))/6

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3 m^{2} - 7 m = 5

m = \frac{7 + 109}{6}, m = \frac{7 - 109}{6}

Decimal Notation

m = 2.90671 \dots, m = - 0.57338 \dots

Solution steps

3 m^{2} - 7 m = 5

Move

5

to the left side

3 m^{2} - 7 m - 5 = 0

Solve with the quadratic formula

m_{1, 2} = \frac{- ( - 7 ) \pm ( - 7 ) ^{2} - 4 \cdot 3 ( - 5 )}{2 \cdot 3}

(- 7)^{2} - 4 \cdot 3 (- 5) = 109

m_{1, 2} = \frac{- ( - 7 ) \pm 109}{2 \cdot 3}

Separate the solutions

m_{1} = \frac{- ( - 7 ) + 109}{2 \cdot 3}, m_{2} = \frac{- ( - 7 ) - 109}{2 \cdot 3}

m = \frac{- ( - 7 ) + 109}{2 \cdot 3} : \frac{7 + 109}{6}

m = \frac{- ( - 7 ) - 109}{2 \cdot 3} : \frac{7 - 109}{6}

The solutions to the quadratic equation are:

m = \frac{7 + 109}{6}, m = \frac{7 - 109}{6}

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

6 x^{2} - 10 x + 3 = 0

x, 4 x^{2} - 4 x y + 1 - y^{2} = 0

x^{2} - 5 x - 25 = 0

x^{2} - 4 x - 21 = 0

What are the solutions to the equation 3m^2-7m=5 ?
The solutions to the equation 3m^2-7m=5 are m=(7+sqrt(109))/6 ,m=(7-sqrt(109))/6
Find the zeros of 3m^2-7m=5
The zeros of 3m^2-7m=5 are m=(7+sqrt(109))/6 ,m=(7-sqrt(109))/6