What is the answer to x+sqrt(x^2-13)=6 ?

The answer to x+sqrt(x^2-13)=6 is x= 49/12

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x+sqrt(x^2-13)=6

x + x^{2} - 13 = 6

x = \frac{49}{12}

Decimal Notation

x = 4.08333 \dots

Solution steps

x + x^{2} - 13 = 6

Remove square roots

x^{2} - 13 = 36 - 12 x + x^{2}

Solve

x^{2} - 13 = 36 - 12 x + x^{2} : x = \frac{49}{12}

x = \frac{49}{12}

Verify Solutions:

x = \frac{49}{12}

True

The solution is

x = \frac{49}{12}

x + 8 - 5 = - 2

x^{(\frac{1}{2})} + 2 = 0

- 7 = 2 x - 9

x - 2 = 19 - 2 x

What is the answer to x+sqrt(x^2-13)=6 ?
The answer to x+sqrt(x^2-13)=6 is x= 49/12
Solve for x: x+sqrt(x^2-13)=6
The solution is x= 49/12