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

The solution set is {0.5. 4.5}.

Step-by-step 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}.

0.5, 4.5

Step-by-step explanation:

X=4.5

X=2

X=-1

X=0.5

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

x=.5

x=4.5

y=3n + 1

step-by-step explanation:

this is wrong because it says the second number is one less and i added one instead

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.