What are the solutions to the equation 3m^2-11m=-10 ?

The solutions to the equation 3m^2-11m=-10 are m=2,m= 5/3

Find the zeros of 3m^2-11m=-10

The zeros of 3m^2-11m=-10 are m=2,m= 5/3

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3 m^{2} - 11 m = - 10

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

Decimal Notation

m = 2, m = 1.66666 \dots

Solution steps

3 m^{2} - 11 m = - 10

Move

10

to the left side

3 m^{2} - 11 m + 10 = 0

Solve with the quadratic formula

m_{1, 2} = \frac{- ( - 11 ) \pm ( - 11 ) ^{2} - 4 \cdot 3 \cdot 10}{2 \cdot 3}

(- 11)^{2} - 4 \cdot 3 \cdot 10 = 1

m_{1, 2} = \frac{- ( - 11 ) \pm 1}{2 \cdot 3}

Separate the solutions

m_{1} = \frac{- ( - 11 ) + 1}{2 \cdot 3}, m_{2} = \frac{- ( - 11 ) - 1}{2 \cdot 3}

m = \frac{- ( - 11 ) + 1}{2 \cdot 3} : 2

m = \frac{- ( - 11 ) - 1}{2 \cdot 3} : \frac{5}{3}

The solutions to the quadratic equation are:

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

x (x + 5) = 0, - 5

x, x^{2} = 4 x

n^{2} = - 10 + 7 n

(17 x - 1)^{2} - 3 (17 x - 1) - 4 = 0

x^{2} - 0.75 x + 0.125 = 0

What are the solutions to the equation 3m^2-11m=-10 ?
The solutions to the equation 3m^2-11m=-10 are m=2,m= 5/3
Find the zeros of 3m^2-11m=-10
The zeros of 3m^2-11m=-10 are m=2,m= 5/3