Solve the equation −(x−3)2−3=7
and re-express the answer as a complex number in the standard form a±bi
.(1 point)
−(x−3)^2−3=7
−(x−3)^2=10
(x−3)^2=-10
Taking the square root of both sides:
x−3=±√(-10)
x=3±√(-10)
The square root of -10 can be expressed as √(10)i, where i is the imaginary unit.
Therefore, the answer in complex number form is:
x=3±√(10)i