What is the answer to sqrt(r)+2/(sqrt(r))=6 ?

The answer to sqrt(r)+2/(sqrt(r))=6 is r=2(8+3sqrt(7)),r=2(8-3sqrt(7))

Solve for r: sqrt(r)+2/(sqrt(r))=6

The solution is r=2(8+3sqrt(7)),r=2(8-3sqrt(7))

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r + \frac{2}{r} = 6

r = 2 (8 + 37), r = 2 (8 - 37)

Decimal Notation

r = 31.87450 \dots, r = 0.12549 \dots

Solution steps

r + \frac{2}{r} = 6

Multiply both sides by

r

r r + \frac{2}{r} r = 6 r

Simplify

(r)^{2} + 2 = 6 r

Expand

(r)^{2} + 2 : r + 2

r + 2 = 6 r

Square both sides:

r^{2} + 4 r + 4 = 36 r

r^{2} + 4 r + 4 = 36 r

Solve

r^{2} + 4 r + 4 = 36 r : r = 2 (8 + 37), r = 2 (8 - 37)

r = 2 (8 + 37), r = 2 (8 - 37)

Verify Solutions:

r = 2 (8 + 37)

True

, r = 2 (8 - 37)

True

The solutions are

r = 2 (8 + 37), r = 2 (8 - 37)

(5 z - 1)^{\frac{1}{3}} - 3 = 1

x^{0.64} = 2.8

- x = 2 (10 x - 5)

2 x - 2 = 2

What is the answer to sqrt(r)+2/(sqrt(r))=6 ?
The answer to sqrt(r)+2/(sqrt(r))=6 is r=2(8+3sqrt(7)),r=2(8-3sqrt(7))
Solve for r: sqrt(r)+2/(sqrt(r))=6
The solution is r=2(8+3sqrt(7)),r=2(8-3sqrt(7))