For the problem 2x=sqrt(x)+6, what is x equal to.

Cyrus Munoz

Cyrus Munoz

Answered question

2022-09-01

For the problem 2 x = x + 6, what is x equal to.

Answer & Explanation

Andre Ferguson

Andre Ferguson

Beginner2022-09-02Added 12 answers

Subtract 6 from both sides
2 x 6 = x
Square both sides
4 x 2 24 x + 36 = x
Set equal to 0:
4 x 2 25 x + 36 = 0
Use quadratic equation:
x = ( b + b 2 4 a c ) / 2 a
You find that x = {4, 2.5}
Check you answer:
2 x = x + 6
2.5:
2.5 ( 2 ) = 2.5 + 6
5 does not equal 1.58
4:
2 ( 4 ) = 4 + 6
8 = 8
Therefore,x=4
Tamara Anthony

Tamara Anthony

Beginner2022-09-03Added 2 answers

2 x = x + 6
You need to isolate the x or else it will remain in the equation. Then square both sides and solve for x.
2 2 ( x 3 ) 2 = ( 2 x ) 2
4 ( x 2 6 x + 9 ) = 4 x 2
4 x 2 24 x + 36 = 4 x 2
24x=36
x=3/2

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