What is the answer to sqrt(3)x+2-sqrt(2x+3)-5=0 ?

The answer to sqrt(3)x+2-sqrt(2x+3)-5=0 is x=(6sqrt(3)+2+sqrt(40+24\sqrt{3)})/6

Solve for x: sqrt(3)x+2-sqrt(2x+3)-5=0

The solution is x=(6sqrt(3)+2+sqrt(40+24\sqrt{3)})/6

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3 x + 2 - 2 x + 3 - 5 = 0

x = \frac{6 3 + 2 + 40 + 24 3}{6}

Decimal Notation

x = 3.57064 \dots

Solution steps

3 x + 2 - 2 x + 3 - 5 = 0

Expand

3 x + 2 - 2 x + 3 - 5 : 3 x - 2 x + 3 - 3

3 x - 2 x + 3 - 3 = 0

Remove square roots

2 x + 3 = 3 x^{2} - 63 x + 9

Solve

2 x + 3 = 3 x^{2} - 63 x + 9 : x = \frac{6 3 + 2 + 40 + 24 3}{6}, x = \frac{6 3 + 2 - 40 + 24 3}{6}

x = \frac{6 3 + 2 + 40 + 24 3}{6}, x = \frac{6 3 + 2 - 40 + 24 3}{6}

Verify Solutions:

x = \frac{6 3 + 2 + 40 + 24 3}{6}

True

, x = \frac{6 3 + 2 - 40 + 24 3}{6}

False

The solution is

x = \frac{6 3 + 2 + 40 + 24 3}{6}

- 2 x - 3 + 1 = x

6 x + 16 = x

x, y = 6 x

x^{\frac{2}{5}} = 3

What is the answer to sqrt(3)x+2-sqrt(2x+3)-5=0 ?
The answer to sqrt(3)x+2-sqrt(2x+3)-5=0 is x=(6sqrt(3)+2+sqrt(40+24\sqrt{3)})/6
Solve for x: sqrt(3)x+2-sqrt(2x+3)-5=0
The solution is x=(6sqrt(3)+2+sqrt(40+24\sqrt{3)})/6