Question

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

(3 points)
Responses

4x2+3x−10=0
4 x squared plus 3 x minus 10 is equal to 0

4x2+3x=−10
4 x squared plus 3 x is equal to negative 10

4x2−x=5
4 x squared minus x is equal to 5

4x2−13x+10=0
4 x squared minus 13 x plus 10 is equal to 0

4x2+x+5=0

Answer 1

Select all that apply.

Answer 2

To find which of the equations has one solution that is 5/4, we need to substitute x = 5/4 into each equation and see if it equals 0.

1. 4(5/4)^2 + 3(5/4) - 10 = 0
This simplifies to 5 + 15/4 - 10 = 0
5 + 15/4 - 40/4 = 0
40/4 + 15/4 - 40/4 = 0
15/4 ≠ 0

2. 4(5/4)^2 + 3(5/4) = -10
This simplifies to 5 - 10
5 - 10 ≠ -10

3. 4(5/4)^2 - 5 = 5
This simplifies to 5 - 5 ≠ 5

4. 4(5/4)^2 - 13(5/4) + 10 = 0
This simplifies to 5 - 65/4 + 10 = 0
20/4 - 65/4 + 40/4 = 0
-5/4 ≠ 0

5. 4(5/4)^2 + 5 = 0
This simplifies to 5 + 5 = 0
This equation does not equal to 0 when x = 5/4.

Therefore, none of the given equations have one solution that is 5/4.

Answer 3

1. 4x^2 + 3x - 10 = 0
2. 4x^2 - 13x + 10 = 0