Which equation would have the restriction of x≠5 on the solution? options: A x+ 5=x3 B. 4x−5=2 C. x−5=x3 D. 4x+5=2

Step-by-step explanation:

A) *incorrect* because if we plug in 5 for x, we would get 15=15

B) *CORRECT* because if we plug in 5 for x, we would get 15=2, meaning x cannot possibly equal 5

C and D) *incorrect* because they are similar to letter A

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.