Solve for x a^2x^2-b^2=0

Problem

a^2*x^2−b^2=0

Solution

1. Identify the equation as a quadratic equation that can be solved by isolating the variable term or by factoring as a difference of squares.

2. Add b^2 to both sides of the equation to isolate the term containing x

a^2*x^2=b^2

3. Divide both sides by a^2 to solve for x^2

x^2=(b^2)/(a^2)

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

x=±√(,(b^2)/(a^2))

5. Simplify the square root expression using the properties of radicals.

x=±b/a

Final Answer

x=±b/a

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