What are the solutions to the equation (m-10)^2=-20m ?

The solutions to the equation (m-10)^2=-20m are m=10i,m=-10i

Find the zeros of (m-10)^2=-20m

The zeros of (m-10)^2=-20m are m=10i,m=-10i

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(m - 10)^{2} = - 20 m

m = 10 i, m = - 10 i

Solution steps

(m - 10)^{2} = - 20 m

Expand

(m - 10)^{2} : m^{2} - 20 m + 100

m^{2} - 20 m + 100 = - 20 m

Move

100

to the right side

m^{2} - 20 m = - 20 m - 100

Move

20 m

to the left side

m^{2} = - 100

For

x^{2} = f (a)

the solutions are

x = f (a), - f (a)

m = - 100, m = - - 100

- 100 = 10 i

- - 100 = - 10 i

m = 10 i, m = - 10 i

0 = - \frac{4}{9} (x + 2)^{2} + 2

q^{2} + 8 q + 20 = 100 - 4 q - q^{2}

3 x^{2} + 3 x = 18

\frac{x ^{2}}{9} + \frac{( 2 x + 1 ) ^{2}}{4} = 1

x^{2} + 120 x + 1 0^{4} = 0

What are the solutions to the equation (m-10)^2=-20m ?
The solutions to the equation (m-10)^2=-20m are m=10i,m=-10i
Find the zeros of (m-10)^2=-20m
The zeros of (m-10)^2=-20m are m=10i,m=-10i