What is the answer to 2x-7=sqrt(x+6) ?

The answer to 2x-7=sqrt(x+6) is x=(29+3sqrt(17))/8

Solve for x: 2x-7=sqrt(x+6)

The solution is x=(29+3sqrt(17))/8

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2 x - 7 = x + 6

x = \frac{29 + 3 17}{8}

Decimal Notation

x = 5.17116 \dots

Solution steps

2 x - 7 = x + 6

Square both sides:

4 x^{2} - 28 x + 49 = x + 6

4 x^{2} - 28 x + 49 = x + 6

Solve

4 x^{2} - 28 x + 49 = x + 6 : x = \frac{29 + 3 17}{8}, x = \frac{29 - 3 17}{8}

x = \frac{29 + 3 17}{8}, x = \frac{29 - 3 17}{8}

Verify Solutions:

x = \frac{29 + 3 17}{8}

True

, x = \frac{29 - 3 17}{8}

False

The solution is

x = \frac{29 + 3 17}{8}

3 x - 7 + 5 = 20

8 x - 23 - 4 = 1

x + 3 = x + 9

7 x + 32 + 15 = 17

10 x - 11 = x + 1

What is the answer to 2x-7=sqrt(x+6) ?
The answer to 2x-7=sqrt(x+6) is x=(29+3sqrt(17))/8
Solve for x: 2x-7=sqrt(x+6)
The solution is x=(29+3sqrt(17))/8