# What is the solution(s) to the quadratic equation 9x² = 4?

Answer: The solutions are x = ±2/3.

Solving quadratic equations like 9x² = 4 involves isolating the variable and finding its value(s). First, divide both sides by 9 to get x² = 4/9. Then, take the square root of both sides, remembering to include both the positive and negative solutions, resulting in x = ±√(4/9), or x = ±2/3. Solving quadratic equations is a fundamental skill in algebra, providing insight into the properties of quadratic functions and their graphs, and is crucial in various applications, including physics, engineering, and economics.

## FAQ on Solving Quadratic Equations

### How do you solve a quadratic equation by factoring?

Set the equation to zero, factor it, and solve for the variable.

### What is the quadratic formula?

The quadratic formula is x = (-b ± √(b² – 4ac)) / (2a).

### What is the discriminant and its significance?

The discriminant is b² – 4ac and determines the nature and number of solutions.