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

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

Find the zeros of y^1=y^2

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

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y^{1} = y^{2}

y = 1, y = 0

Solution steps

y^{1} = y^{2}

Refine

y = y^{2}

Switch sides

y^{2} = y

Move

y

to the left side

y^{2} - y = 0

Solve with the quadratic formula

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

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

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

Separate the solutions

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

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

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

The solutions to the quadratic equation are:

y = 1, y = 0

12 x^{2} - 24 x = 0

3 x^{2} - 20 x + 28 = 0

12 z^{2} - 15 z + 4 = 0

0 = - x^{2} + 10 x - 16

12 x^{2} - 476 x + 3160 = 0

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