What are the solutions to the equation completesquare x^2+10x+7=0 ?

The solutions to the equation completesquare x^2+10x+7=0 are x=3sqrt(2)-5,x=-3sqrt(2)-5

Find the zeros of completesquare x^2+10x+7=0

The zeros of completesquare x^2+10x+7=0 are x=3sqrt(2)-5,x=-3sqrt(2)-5

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x^{2} + 10 x + 7 = 0

x = 32 - 5, x = - 32 - 5

Decimal Notation

x = - 0.75735 \dots, x = - 9.24264 \dots

Solution steps

x^{2} + 10 x + 7 = 0

Move

7

to the right side

x^{2} + 10 x = - 7

Rewrite in the form

(x + a)^{2} = b

(x + 5)^{2} = 18

For

the solutions are

f (x) = a, - a

Solve

x + 5 = 18 : x = 32 - 5

Solve

x + 5 = - 18 : x = - 32 - 5

The solutions to the quadratic equation are:

x = 32 - 5, x = - 32 - 5

25 + x^{2} = 169

(x + 1)^{2} + 3 = 0

x (x + 5) = 6

x (7 x - 6) = 0

- 10 - 6 x^{2} = - 226

What are the solutions to the equation completesquare x^2+10x+7=0 ?
The solutions to the equation completesquare x^2+10x+7=0 are x=3sqrt(2)-5,x=-3sqrt(2)-5
Find the zeros of completesquare x^2+10x+7=0
The zeros of completesquare x^2+10x+7=0 are x=3sqrt(2)-5,x=-3sqrt(2)-5