Using the Discriminant In Exercises 27-30, use the discriminant to find the number of real and imaginary solutions of the quadratic equation. 27. 6x + x - 2 = 0 28. 9x2 - 12x + 4 = 0 29. 0.13x - 0.45x + 0.65 = 0 30. 4x² + £x + } = 0o

Using the Discriminant In Exercises 27-30, use the discriminant to find the number of real and imaginary solutions of the quadratic equation. 27. 6x + x - 2 = 0 28. 9x2 - 12x + 4 = 0 29. 0.13x - 0.45x + 0.65 = 0 30. 4x² + £x + } = 0o

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter4: Complex Numbers

Section4.2: Complex Solutions Of Equations

Problem 14E

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Roots

The main dissimilarity between real and complex roots is that the real roots are obtained as real numbers, in contrast with the complex roots, which are indicated as imaginary numbers. The standard format for depicting any complex number is in the form of a + bi.

Question

Using the Discriminant In Exercises 27–30, use the
discriminant to find the number of real and imaginary
solutions of the quadratic equation.

Formula Formula A polynomial with degree 2 is called a quadratic polynomial. A quadratic equation can be simplified to the standard form: ax² + bx + c = 0 Where, a ≠ 0. A, b, c are coefficients. c is also called "constant". 'x' is the unknown quantity

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