What are the solutions to the equation m^1=m^2 ?

The solutions to the equation m^1=m^2 are m=1,m=0

Find the zeros of m^1=m^2

The zeros of m^1=m^2 are m=1,m=0

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m^{1} = m^{2}

m = 1, m = 0

Solution steps

m^{1} = m^{2}

Refine

m = m^{2}

Switch sides

m^{2} = m

Move

m

to the left side

m^{2} - m = 0

Solve with the quadratic formula

m_{1, 2} = \frac{- ( - 1 ) \pm ( - 1 ) ^{2} - 4 \cdot 1 \cdot 0}{2 \cdot 1}

(- 1)^{2} - 4 \cdot 1 \cdot 0 = 1

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

Separate the solutions

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

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

m = \frac{- ( - 1 ) - 1}{2 \cdot 1} : 0

The solutions to the quadratic equation are:

m = 1, m = 0

x, 18 x^{2} y + 4 y^{3} - 2 = 0

- 2 x^{2} + 4 x + 9 = - 3

(x - 3)^{2} - 5 (x - 3) + 4 = 0

2 x^{2} - 16 x + 24 = 0

\frac{3}{2} m^{2} + 43 m + 3 = 0

What are the solutions to the equation m^1=m^2 ?
The solutions to the equation m^1=m^2 are m=1,m=0
Find the zeros of m^1=m^2
The zeros of m^1=m^2 are m=1,m=0