What is the answer to 4-sqrt(2r)=sqrt(2r)-6 ?

The answer to 4-sqrt(2r)=sqrt(2r)-6 is r= 25/2

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4-sqrt(2r)=sqrt(2r)-6

4 - 2 r = 2 r - 6

r = \frac{25}{2}

Decimal Notation

r = 12.5

Solution steps

4 - 2 r = 2 r - 6

Move

4

to the right side

- 2 r = 2 r - 10

Move

2 r

to the left side

- 2 2 r = - 10

Divide both sides by

- 2

2 r = 5

Square both sides:

2 r = 25

2 r = 25

Solve

2 r = 25 : r = \frac{25}{2}

r = \frac{25}{2}

Verify Solutions:

r = \frac{25}{2}

True

The solution is

r = \frac{25}{2}

x + 16 = 3 x^{2}

2 x + 6 = 4 x^{2}

5 - x + 1 = x - 2

8 x - 7 = 3

5 x + 6 = 1

What is the answer to 4-sqrt(2r)=sqrt(2r)-6 ?
The answer to 4-sqrt(2r)=sqrt(2r)-6 is r= 25/2
Solve for r: 4-sqrt(2r)=sqrt(2r)-6
The solution is r= 25/2