What are the solutions to the equation completesquare 10x+30=-x^2 ?

The solutions to the equation completesquare 10x+30=-x^2 are x=sqrt(5)i-5,x=-sqrt(5)i-5

Find the zeros of completesquare 10x+30=-x^2

The zeros of completesquare 10x+30=-x^2 are x=sqrt(5)i-5,x=-sqrt(5)i-5

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10 x + 30 = - x^{2}

x = 5 i - 5, x = - 5 i - 5

Solution steps

10 x + 30 = - x^{2}

Switch sides

- x^{2} = 10 x + 30

Move

10 x

to the left side

- x^{2} - 10 x = 30

Divide both sides by

- 1

\frac{- x ^{2} - 10 x}{- 1} = \frac{30}{- 1}

x^{2} + 10 x = - 30

Rewrite in the form

(x + a)^{2} = b

(x + 5)^{2} = - 5

For

the solutions are

f (x) = a, - a

Solve

x + 5 = - 5 : x = 5 i - 5

Solve

x + 5 = - - 5 : x = - 5 i - 5

The solutions to the quadratic equation are:

x = 5 i - 5, x = - 5 i - 5

3 y^{2} + 8 y = 2 y + 9

9 x^{2} - 48 = 0

5 y^{2} - 13 y + 6 = 0

n^{2} - n = 84

n^{2} - n = 56

What are the solutions to the equation completesquare 10x+30=-x^2 ?
The solutions to the equation completesquare 10x+30=-x^2 are x=sqrt(5)i-5,x=-sqrt(5)i-5
Find the zeros of completesquare 10x+30=-x^2
The zeros of completesquare 10x+30=-x^2 are x=sqrt(5)i-5,x=-sqrt(5)i-5