What is the answer to 3sqrt(x)+6=x+5 ?

The answer to 3sqrt(x)+6=x+5 is x=(11+3sqrt(13))/2

Solve for x: 3sqrt(x)+6=x+5

The solution is x=(11+3sqrt(13))/2

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3 x + 6 = x + 5

x = \frac{11 + 3 13}{2}

Decimal Notation

x = 10.90832 \dots

Solution steps

3 x + 6 = x + 5

Remove square roots

9 x = x^{2} - 2 x + 1

Solve

9 x = x^{2} - 2 x + 1 : x = \frac{11 + 3 13}{2}, x = \frac{11 - 3 13}{2}

x = \frac{11 + 3 13}{2}, x = \frac{11 - 3 13}{2}

Verify Solutions:

x = \frac{11 + 3 13}{2}

True

, x = \frac{11 - 3 13}{2}

False

The solution is

x = \frac{11 + 3 13}{2}

(3 x + 5)^{\frac{3}{7}} = 64

z^{3} - 7 z^{\frac{3}{2}} - 8 = 0

z^{\frac{3}{2}} - 512 = 0

What is the answer to 3sqrt(x)+6=x+5 ?
The answer to 3sqrt(x)+6=x+5 is x=(11+3sqrt(13))/2
Solve for x: 3sqrt(x)+6=x+5
The solution is x=(11+3sqrt(13))/2