What is the solution(s) to the quadratic equation 9x² = 4?
Answer: The solutions are x = ±2/3.
Solving Quadratic Equations
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.
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