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Tuesday 26th of September
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 Depdendent Variable

 Number of equations to solve: 23456789
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 Dependent Variable

 Number of inequalities to solve: 23456789
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# Solving Quadratic Equations Using the Quadratic Formula

To use the quadratic formula to solve a quadratic equation, we replace a, b, and c with specific numbers. Then we simplify the resulting expression.

Procedure â€” To Solve a Quadratic Equation Using the Quadratic Formula

Step 1 Write the quadratic equation in standard form, ax2 + bx + c = 0.

Step 2 Identify the values of a, b, and c.

Step 3 Substitute the values of a, b, and c into the quadratic formula.

Step 4 Simplify.

Step 5 Check each solution.

Example 1

Solve using the quadratic formula: 3x2 - 16x = -5

Solution

 Step 1 Write the quadratic equation in standard form, ax2 + bx + c = 0.Add 5 to both sides of the equation. Step 2 Identify the values of a, b, and c. Step 3 Substitute the values of a, b, and c into the quadratic formula. Step 4 Simplify. Step 5 Check each solution. We leave the check to you.

The two solutions of 3x2 - 16x = -5 are and 5.