Which are the solutions of the quadratic equation? x2 = 9x + 6 StartFraction negative 9 minus StartRoot 105 EndRoot Over 2 EndFraction comma StartFraction negative 9 + StartRoot 105 EndRoot Over 2 EndFraction StartFraction negative 9 minus StartRoot 57 EndRoot Over 2 EndFraction comma StartFraction negative 9 + StartRoot 57 EndRoot Over 2 EndFraction StartFraction 9 minus StartRoot 105 EndRoot Over 2 EndFraction comma StartFraction 9 + StartRoot 105 EndRoot Over 2 EndFraction StartFraction 9 minus StartRoot 57 EndRoot Over 2 EndFraction comma StartFraction 9 + StartRoot 57 EndRoot Over 2 EndFraction

Question

Mathematics

Zachary Hebert

11 December, 03:52

Which are the solutions of the quadratic equation? x2 = 9x + 6 StartFraction negative 9 minus StartRoot 105 EndRoot Over 2 EndFraction comma StartFraction negative 9 + StartRoot 105 EndRoot Over 2 EndFraction StartFraction negative 9 minus StartRoot 57 EndRoot Over 2 EndFraction comma StartFraction negative 9 + StartRoot 57 EndRoot Over 2 EndFraction StartFraction 9 minus StartRoot 105 EndRoot Over 2 EndFraction comma StartFraction 9 + StartRoot 105 EndRoot Over 2 EndFraction StartFraction 9 minus StartRoot 57 EndRoot Over 2 EndFraction comma StartFraction 9 + StartRoot 57 EndRoot Over 2 EndFraction

+2

Answers (1)

Know the Answer?

Cindy Browning · Answer 1

The correct answer is C. 9 - √ 105 / 2, 9 + √ 105 / 2

Step-by-step explanation:

Let's find the solutions for the quadratic equation:

x² = 9x + 6

x² - 9x - 6 = 0

Using the quadratic formula, we have:

x = [ - (-9) + / - √ (-9) ² - 4 * 1 * - 6]/2 * 1

x = [ 9 + / - √ (81 + 24]/2

x = [ 9 + / - √ (105]/2

x₁ = [ 9 + √ (105]/2

x₂ = [ 9 - √ (105]/2

The correct answer is C. 9 - √ 105 / 2, 9 + √ 105 / 2

Note: Same answer to question 14133688, answered by me today.