What is the answer to sqrt(4x-13)=1+2sqrt(x-5) ?

The answer to sqrt(4x-13)=1+2sqrt(x-5) is x= 29/4

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sqrt(4x-13)=1+2sqrt(x-5)

4 x - 13 = 1 + 2 x - 5

x = \frac{29}{4}

Decimal Notation

x = 7.25

Solution steps

4 x - 13 = 1 + 2 x - 5

Remove square roots

36 = 16 x - 80

Solve

36 = 16 x - 80 : x = \frac{29}{4}

x = \frac{29}{4}

Verify Solutions:

x = \frac{29}{4}

True

The solution is

x = \frac{29}{4}

x, f^{1} (x) = x

x - 8 = 8 - x

- 1 - 4 k = k + 4

What is the answer to sqrt(4x-13)=1+2sqrt(x-5) ?
The answer to sqrt(4x-13)=1+2sqrt(x-5) is x= 29/4
Solve for x: sqrt(4x-13)=1+2sqrt(x-5)
The solution is x= 29/4