Solve for x (x^2+1)^2=0

Problem

(x2+1)2=0

Solution

1. Take the square root of both sides of the equation to eliminate the outer exponent.

√(,(x2+1)2)=√(,0)

x2+1=0

2. Isolate the variable term by subtracting 1 from both sides.

x2=−1

3. Solve for x by taking the square root of both sides, noting that the square root of a negative number involves the imaginary unit i

x=±√(,−1)

x=±i

Final Answer

(x2+1)2=0⇒x=±i

Want more problems? Check here!