How To Solve Quadratic Equations Using The Quadratic Formula
The Organic Chemistry Tutor・1 minute read
Identify the values of a, b, and c from the quadratic equation, apply the quadratic formula to find the solutions, and verify by substituting them back into the original equation for accuracy.
Insights
- Identifying the values of a, b, and c in a quadratic equation is crucial for applying the quadratic formula effectively. In the provided example, a is 2, b is 3, and c is -2.
- Verifying the solutions obtained by substituting them back into the original equation is essential to confirm their accuracy. In the illustration, both x equals 1/2 and x equals -2 satisfy the equation, validating the solutions.
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Recent questions
How do you solve a quadratic equation?
By using the quadratic formula.
What are the components of the quadratic formula?
Negative b plus or minus square root of b squared minus 4ac divided by 2a.
How do you verify solutions of a quadratic equation?
By substituting them back into the original equation.
What values do you need to solve a quadratic equation?
Values of a, b, and c from the equation.
How many solutions can a quadratic equation have?
Two solutions.
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Summary
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Solving Quadratic Equations Using Formula
- To solve a quadratic equation using the quadratic formula, identify the values of a, b, and c from the equation. In the example provided, with 2x squared plus 3x minus 2 equals 0, a is 2, b is 3, and c is -2.
- Apply the quadratic formula, x equals negative b plus or minus the square root of b squared minus 4ac divided by 2a, to find the solutions. For the given equation, the solutions are x equals 1/2 or x equals -2.
- Verify the solutions by substituting them back into the original equation. In the example, both x equals 1/2 and x equals -2 satisfy the equation, confirming the accuracy of the solutions.
