122k views
1 vote
1. The equation 24x² + 2x = 15 has 2 solutions. What is

the greater of the 2 solutions?
A. 3/
B.
M + NO
C.
D. 1/1
E.

2 Answers

4 votes

Answer:

the answers are: 36/48

-40/48

1. The equation 24x² + 2x = 15 has 2 solutions. What is the greater of the 2 solutions-example-1
User Felix Orinda
by
8.2k points
3 votes

Answer:

Explanation:

To find the solutions of the equation 24x² + 2x - 15 = 0, you can use the quadratic formula.

The quadratic formula states that given a quadratic equation of the form ax² + bx + c = 0, where a, b, and c are real numbers and a ≠ 0, the solutions are given by:

x = (-b ± √(b² - 4ac)) / 2a

In this case, a = 24, b = 2, and c = -15, so:

x = (-2 ± √(2² - 4 * 24 * -15)) / 2 * 24

x = (-2 ± √(4 + 1440)) / 48

x = (-2 ± √(1444)) / 48

Taking the square root of both sides, we have:

x = (-2 ± 38.2) / 48

Therefore, the solutions are:

x = (-2 + 38.2) / 48 = 36.2 / 48 = 0.75

x = (-2 - 38.2) / 48 = -40.2 / 48 = -0.84

Since 0.75 > -0.84, the greater of the two solutions is 0.75.

User Adam Albrecht
by
8.0k points

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