What are the solutions to the equation A=A^2 ?

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

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A=A^2

A = A^{2}

A = 1, A = 0

Solution steps

A = A^{2}

Switch sides

A^{2} = A

Move

A

to the left side

A^{2} - A = 0

Solve with the quadratic formula

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

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

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

Separate the solutions

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

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

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

The solutions to the quadratic equation are:

A = 1, A = 0

(8 x) (x + 2) = 0

n^{2} + 12 n + 32 = 0

3 x^{2} - 13 x = - 10

x, x^{2} = - 4 p y

x^{2} - 9 x = 0

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