What are the solutions to the equation z^2=9z ?

The solutions to the equation z^2=9z are z=9,z=0

Find the zeros of z^2=9z

The zeros of z^2=9z are z=9,z=0

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z^{2} = 9 z

z = 9, z = 0

Solution steps

z^{2} = 9 z

Move

9 z

to the left side

z^{2} - 9 z = 0

Solve with the quadratic formula

z_{1, 2} = \frac{- ( - 9 ) \pm ( - 9 ) ^{2} - 4 \cdot 1 \cdot 0}{2 \cdot 1}

(- 9)^{2} - 4 \cdot 1 \cdot 0 = 9

z_{1, 2} = \frac{- ( - 9 ) \pm 9}{2 \cdot 1}

Separate the solutions

z_{1} = \frac{- ( - 9 ) + 9}{2 \cdot 1}, z_{2} = \frac{- ( - 9 ) - 9}{2 \cdot 1}

z = \frac{- ( - 9 ) + 9}{2 \cdot 1} : 9

z = \frac{- ( - 9 ) - 9}{2 \cdot 1} : 0

The solutions to the quadratic equation are:

z = 9, z = 0

x^{2} - 40 x + 359 = 0

z^{2} = - 7

x (x + 2) = - 17

2 x^{2} - 108 = 0

2 x^{2} + 4 x + 1 = 0

What are the solutions to the equation z^2=9z ?
The solutions to the equation z^2=9z are z=9,z=0
Find the zeros of z^2=9z
The zeros of z^2=9z are z=9,z=0