Question

Which choices are solutions to the following equation x^2-5x=-9/4

Answer 1

0.5, 4.5

Explanation:

X=4.5

X=2

X=-1

X=0.5

`4(x^2-5x=-(9)/(4))\\4x^2-20x+9=0\\`

(2x-1)(2x-9)=0

x=.5

x=4.5

Answer 2

The solution set is {0.5. 4.5}.

Explanation:

x^2 - 5x = -9/4

x^2 - 5x + 2.25 = 0

4x^2 - 20x + 9 = 0

Using the 'ac' method: 4 *9 = 36, we need:

2 numbers whose product is 36 and whose sum is -20

They are -18 and - 2, so

4x^2 -2x - 18x + 9 = 0 Factor by grouping:

2x(2x - 1) - 9(2x - 1)

(2x - 1)(2x - 9) = 0

x = {0.5, 4.5}.