Question

Which of the equations has one solution that is 5/4 Select all that apply. (3 points)

4x ^ 2 - x = 5

4x ^ 2 + 3x = - 10

4x ^ 2 - 13x + 10 = 0

4x ^ 2 + x + 5 = 0

4x ^ 2 + 3x - 10 = 0

Answer 1

[AI-generated answer — Bot GPT 3.5]

To determine which equation has one solution of 5/4, we can solve each equation and see if the solution matches.

1) 4x^2 - x = 5
Rearrange to get: 4x^2 - x - 5 = 0
This is a quadratic equation. However, when we solve it using the quadratic formula, the solutions are not 5/4.

2) 4x^2 + 3x = -10
Rearrange to get: 4x^2 + 3x + 10 = 0
Again, this is a quadratic equation. But when we solve it using the quadratic formula, the solutions are not 5/4.

3) 4x^2 - 13x + 10 = 0
This is a quadratic equation. When we solve it using the quadratic formula, the solutions are x = 5/4 and x = 2. Therefore, this equation has a solution of 5/4.

4) 4x^2 + x + 5 = 0
This is a quadratic equation. When we solve it using the quadratic formula, the solutions are not 5/4.

5) 4x^2 + 3x - 10 = 0
This is a quadratic equation. When we solve it using the quadratic formula, the solutions are x = 5/4 and x = -2. Therefore, this equation has a solution of 5/4.

Therefore, the equations that have one solution of 5/4 are:
- 4x^2 - 13x + 10 = 0
- 4x^2 + 3x - 10 = 0

So the correct answers are equations 3) and 5).