What is the answer to 2sqrt(3x-2)-sqrt(x+2)=3 ?

The answer to 2sqrt(3x-2)-sqrt(x+2)=3 is x=(227+12sqrt(115))/(121)

Solve for x: 2sqrt(3x-2)-sqrt(x+2)=3

The solution is x=(227+12sqrt(115))/(121)

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2 3 x - 2 - x + 2 = 3

x = \frac{227 + 12 115}{121}

Decimal Notation

x = 2.93955 \dots

Solution steps

2 3 x - 2 - x + 2 = 3

Remove square roots

121 x^{2} - 418 x + 361 = 36 x + 72

Solve

121 x^{2} - 418 x + 361 = 36 x + 72 : x = \frac{227 + 12 115}{121}, x = \frac{227 - 12 115}{121}

x = \frac{227 + 12 115}{121}, x = \frac{227 - 12 115}{121}

Verify Solutions:

x = \frac{227 + 12 115}{121}

True

, x = \frac{227 - 12 115}{121}

False

The solution is

x = \frac{227 + 12 115}{121}

5 + x = 9

x = \frac{1}{3} x

(x - 2)^{\frac{5}{2}} = 243

x = 7 - x + 7

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

What is the answer to 2sqrt(3x-2)-sqrt(x+2)=3 ?
The answer to 2sqrt(3x-2)-sqrt(x+2)=3 is x=(227+12sqrt(115))/(121)
Solve for x: 2sqrt(3x-2)-sqrt(x+2)=3
The solution is x=(227+12sqrt(115))/(121)