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Just take the square root of each side.

(x-4)2 = -36

x - 4 = (plus or minus) 6i

This gives two solutions:

x - 4 = 6i
x = 4 + 6i

and:

x - 4 = -6i
x = 4 - 6i

If you want only real numbers, then of course the equation has no solution. For some problems, complex numbers may be acceptable, for others, not.

Just take the square root of each side.

(x-4)2 = -36

x - 4 = (plus or minus) 6i

This gives two solutions:

x - 4 = 6i
x = 4 + 6i

and:

x - 4 = -6i
x = 4 - 6i

If you want only real numbers, then of course the equation has no solution. For some problems, complex numbers may be acceptable, for others, not.

Just take the square root of each side.

(x-4)2 = -36

x - 4 = (plus or minus) 6i

This gives two solutions:

x - 4 = 6i
x = 4 + 6i

and:

x - 4 = -6i
x = 4 - 6i

If you want only real numbers, then of course the equation has no solution. For some problems, complex numbers may be acceptable, for others, not.

Just take the square root of each side.

(x-4)2 = -36

x - 4 = (plus or minus) 6i

This gives two solutions:

x - 4 = 6i
x = 4 + 6i

and:

x - 4 = -6i
x = 4 - 6i

If you want only real numbers, then of course the equation has no solution. For some problems, complex numbers may be acceptable, for others, not.

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