What are the solutions to the equation y(y-10)+30=0 ?

The solutions to the equation y(y-10)+30=0 are y=5+sqrt(5)i,y=5-sqrt(5)i

Find the zeros of y(y-10)+30=0

The zeros of y(y-10)+30=0 are y=5+sqrt(5)i,y=5-sqrt(5)i

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y (y - 10) + 30 = 0

y = 5 + 5 i, y = 5 - 5 i

Solution steps

y (y - 10) + 30 = 0

Expand

y (y - 10) + 30 : y^{2} - 10 y + 30

y^{2} - 10 y + 30 = 0

Solve with the quadratic formula

y_{1, 2} = \frac{- ( - 10 ) \pm ( - 10 ) ^{2} - 4 \cdot 1 \cdot 30}{2 \cdot 1}

Simplify

(- 10)^{2} - 4 \cdot 1 \cdot 30 : 25 i

y_{1, 2} = \frac{- ( - 10 ) \pm 2 5 i}{2 \cdot 1}

Separate the solutions

y_{1} = \frac{- ( - 10 ) + 2 5 i}{2 \cdot 1}, y_{2} = \frac{- ( - 10 ) - 2 5 i}{2 \cdot 1}

y = \frac{- ( - 10 ) + 2 5 i}{2 \cdot 1} : 5 + 5 i

y = \frac{- ( - 10 ) - 2 5 i}{2 \cdot 1} : 5 - 5 i

The solutions to the quadratic equation are:

y = 5 + 5 i, y = 5 - 5 i

x + 2 < 9 x + 6

\frac{6}{x - 4} \leq \frac{3}{x - 3}

2 (12 - w) = - 2 (w - 17) - 10

\frac{b}{9} - 34 < - 36

10 \cdot 2

What are the solutions to the equation y(y-10)+30=0 ?
The solutions to the equation y(y-10)+30=0 are y=5+sqrt(5)i,y=5-sqrt(5)i
Find the zeros of y(y-10)+30=0
The zeros of y(y-10)+30=0 are y=5+sqrt(5)i,y=5-sqrt(5)i