Solve for x 3x^2+48=0

Problem

3*x2+48=0

Solution

1. Isolate the term containing x2 by subtracting 48 from both sides of the equation.

3*x2=−48

2. Divide both sides by 3 to solve for x2

x2=−16

3. Take the square root of both sides, remembering to include both the positive and negative roots.

x=±√(,−16)

4. Simplify the square root using the imaginary unit i where √(,−1)=i

x=±4*i

Final Answer

x=±4*i

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