What are the solutions to the equation 13m=-5-6m^2 ?

The solutions to the equation 13m=-5-6m^2 are m=-5/3 ,m=-1/2

Find the zeros of 13m=-5-6m^2

The zeros of 13m=-5-6m^2 are m=-5/3 ,m=-1/2

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13 m = - 5 - 6 m^{2}

m = - \frac{5}{3}, m = - \frac{1}{2}

Decimal Notation

m = - 1.66666 \dots, m = - 0.5

Solution steps

13 m = - 5 - 6 m^{2}

Switch sides

- 5 - 6 m^{2} = 13 m

Move

13 m

to the left side

- 5 - 6 m^{2} - 13 m = 0

Write in the standard form

a x^{2} + b x + c = 0

- 6 m^{2} - 13 m - 5 = 0

Solve with the quadratic formula

m_{1, 2} = \frac{- ( - 13 ) \pm ( - 13 ) ^{2} - 4 ( - 6 ) ( - 5 )}{2 ( - 6 )}

(- 13)^{2} - 4 (- 6) (- 5) = 7

m_{1, 2} = \frac{- ( - 13 ) \pm 7}{2 ( - 6 )}

Separate the solutions

m_{1} = \frac{- ( - 13 ) + 7}{2 ( - 6 )}, m_{2} = \frac{- ( - 13 ) - 7}{2 ( - 6 )}

m = \frac{- ( - 13 ) + 7}{2 ( - 6 )} : - \frac{5}{3}

m = \frac{- ( - 13 ) - 7}{2 ( - 6 )} : - \frac{1}{2}

The solutions to the quadratic equation are:

m = - \frac{5}{3}, m = - \frac{1}{2}

- 8 x + 44 \geq 60 and - 4 x + 50 < 58

2 (\frac{1}{2})^{0}

9 x^{2} - 7 x - 2

- 81 x^{2} = - 11

x^{4} - 5 x^{2} - 6

What are the solutions to the equation 13m=-5-6m^2 ?
The solutions to the equation 13m=-5-6m^2 are m=-5/3 ,m=-1/2
Find the zeros of 13m=-5-6m^2
The zeros of 13m=-5-6m^2 are m=-5/3 ,m=-1/2