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 Dependent Variable

 Number of inequalities to solve: 23456789
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# Quadratic Equations with Imaginary Solutions

Example

Solve using the quadratic formula: 2x2 + 7 = 3x

Solution

 Step 1 Write the quadratic equation in standard form. Subtract 3x from both sides of the equation. 2x2 - 3x + 7 = 0 Step 2 Identify the values of a, b, and c. a = 2, b = -3, c = 7 Step 3 Substitute the values of a, b, and c into the quadratic formula. Substitute 2 for a, -3 for b, and 7 for c. Step 4 Simplify. Simplify the radicand and the denominator. Use to simplify the square root. Write the final answer in the form a + bi. Step 5 Check each solution. We leave the check to you.
So, the solutions of 2x2 + 7 = 3x are Notice that the solutions are complex conjugates.