What are the solutions to the equation 11m^2-11m+3=6m^2 ?

The solutions to the equation 11m^2-11m+3=6m^2 are m=(11+sqrt(61))/(10),m=(11-sqrt(61))/(10)

Find the zeros of 11m^2-11m+3=6m^2

The zeros of 11m^2-11m+3=6m^2 are m=(11+sqrt(61))/(10),m=(11-sqrt(61))/(10)

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11 m^{2} - 11 m + 3 = 6 m^{2}

m = \frac{11 + 61}{10}, m = \frac{11 - 61}{10}

Solution steps

11 m^{2} - 11 m + 3 = 6 m^{2}

Move

6 m^{2}

to the left side

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

Solve with the quadratic formula

m_{1, 2} = \frac{- ( - 11 ) \pm ( - 11 ) ^{2} - 4 \cdot 5 \cdot 3}{2 \cdot 5}

(- 11)^{2} - 4 \cdot 5 \cdot 3 = 61

m_{1, 2} = \frac{- ( - 11 ) \pm 61}{2 \cdot 5}

Separate the solutions

m_{1} = \frac{- ( - 11 ) + 61}{2 \cdot 5}, m_{2} = \frac{- ( - 11 ) - 61}{2 \cdot 5}

m = \frac{- ( - 11 ) + 61}{2 \cdot 5} : \frac{11 + 61}{10}

m = \frac{- ( - 11 ) - 61}{2 \cdot 5} : \frac{11 - 61}{10}

The solutions to the quadratic equation are:

m = \frac{11 + 61}{10}, m = \frac{11 - 61}{10}

x, (x + y)^{2} = 2 x + 2 y

v^{2} - 9 v + 18 = 0

8 (- x^{2} - 1) = - 24

7 p^{2} = 35 p + 168

9 x^{2} - 48 x + 54 = 0

What are the solutions to the equation 11m^2-11m+3=6m^2 ?
The solutions to the equation 11m^2-11m+3=6m^2 are m=(11+sqrt(61))/(10),m=(11-sqrt(61))/(10)
Find the zeros of 11m^2-11m+3=6m^2
The zeros of 11m^2-11m+3=6m^2 are m=(11+sqrt(61))/(10),m=(11-sqrt(61))/(10)