What are the solutions to the equation completesquare x^2+14x+96=0 ?

The solutions to the equation completesquare x^2+14x+96=0 are x=sqrt(47)i-7,x=-sqrt(47)i-7

Find the zeros of completesquare x^2+14x+96=0

The zeros of completesquare x^2+14x+96=0 are x=sqrt(47)i-7,x=-sqrt(47)i-7

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x^{2} + 14 x + 96 = 0

x = 47 i - 7, x = - 47 i - 7

Solution steps

x^{2} + 14 x + 96 = 0

Move

96

to the right side

x^{2} + 14 x = - 96

Rewrite in the form

(x + a)^{2} = b

(x + 7)^{2} = - 47

For

the solutions are

f (x) = a, - a

Solve

x + 7 = - 47 : x = 47 i - 7

Solve

x + 7 = - - 47 : x = - 47 i - 7

The solutions to the quadratic equation are:

x = 47 i - 7, x = - 47 i - 7

(x + 10)^{2} = 0

x^{2} + 8 x - 5 = 15

x^{2} + x + 3 = 5

4 8^{2} + 3 6^{2} = x^{2}

t, x = 1 - 4 t^{2}

What are the solutions to the equation completesquare x^2+14x+96=0 ?
The solutions to the equation completesquare x^2+14x+96=0 are x=sqrt(47)i-7,x=-sqrt(47)i-7
Find the zeros of completesquare x^2+14x+96=0
The zeros of completesquare x^2+14x+96=0 are x=sqrt(47)i-7,x=-sqrt(47)i-7