If x − 2 x = 3 then x − 2 x = ?

grenivkah3z

grenivkah3z

Answered

2022-07-04

If x 2 x = 3 then x 2 x = ?

Answer & Explanation

Sariah Glover

Sariah Glover

Expert

2022-07-05Added 16 answers

x 2 x = 3 x x 2 = 3 x x ( x 3 ) = 2 x ( x 3 ) 2 = 2 ( x 2 ) ( x 2 4 x + 1 ) = 0
Note that x = 2 is not a solution, so
x 2 4 x + 1 = 0 x = 2 + 3  or  x = 2 3
The second is not a solution either, so x = 2 + 3 .
The second is not a solution either, so x = 2 + 3 .
In that case, x 2 x = 2 + 3 2 ( 2 + 3 ) = 2 + 3 ( 3 + 1 ) 2 = 1.
Kristen Stokes

Kristen Stokes

Expert

2022-07-06Added 2 answers

Let x 2 = y x = 2 y 2
2 y 2 1 y = 3 2 y 3 3 y 1 = 0
Let x 2 x = 2 y 2 2 y = 2 a , y 2 y a = 0         ( 1 )
2 y 1 y = 3 2 a 2 y 2 + ( 2 a 3 ) y 1 = 0         ( 2 )
(1),(2) will represent the same equation iff
1 2 = 1 2 a 3 = a 1

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get your answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?