What is the answer to sqrt(x+2)+sqrt(2x-1)=5 ?

The answer to sqrt(x+2)+sqrt(2x-1)=5 is x=2(39-5sqrt(55))

Solve for x: sqrt(x+2)+sqrt(2x-1)=5

The solution is x=2(39-5sqrt(55))

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x + 2 + 2 x - 1 = 5

x = 2 (39 - 555)

Decimal Notation

x = 3.83801 \dots

Solution steps

x + 2 + 2 x - 1 = 5

Remove square roots

x^{2} + 44 x + 484 = 200 x - 100

Solve

x^{2} + 44 x + 484 = 200 x - 100 : x = 2 (39 + 555), x = 2 (39 - 555)

x = 2 (39 + 555), x = 2 (39 - 555)

Verify Solutions:

x = 2 (39 + 555)

False

, x = 2 (39 - 555)

True

The solution is

x = 2 (39 - 555)

x^{\frac{3}{2}} = 3

x^{\frac{3}{2}} = 0

x^{(\frac{3}{2})} = 27

(x - 1)^{\frac{2}{3}} = 64

x = 5 - x

What is the answer to sqrt(x+2)+sqrt(2x-1)=5 ?
The answer to sqrt(x+2)+sqrt(2x-1)=5 is x=2(39-5sqrt(55))
Solve for x: sqrt(x+2)+sqrt(2x-1)=5
The solution is x=2(39-5sqrt(55))