23.5k views
1 vote
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

1 Answer

4 votes

Answer:

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

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.

User Phillee
by
8.9k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.