Solve Using the Square Root Property x^2=-25

Problem

x2=−25

Solution

1. Apply the square root property by taking the square root of both sides of the equation.

√(,x2)=±√(,−25)

2. Introduce the imaginary unit i because the square root of a negative number is involved, where √(,−1)=i

x=±√(,25)⋅√(,−1)

3. Simplify the square root of the positive constant.

x=±5*i

Final Answer

x=±5*i

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