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

The answer to 2x-5=sqrt(x+4) is x=(21+sqrt(105))/8

Solve for x: 2x-5=sqrt(x+4)

The solution is x=(21+sqrt(105))/8

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2 x - 5 = x + 4

x = \frac{21 + 105}{8}

Decimal Notation

x = 3.90586 \dots

Solution steps

2 x - 5 = x + 4

Square both sides:

4 x^{2} - 20 x + 25 = x + 4

4 x^{2} - 20 x + 25 = x + 4

Solve

4 x^{2} - 20 x + 25 = x + 4 : x = \frac{21 + 105}{8}, x = \frac{21 - 105}{8}

x = \frac{21 + 105}{8}, x = \frac{21 - 105}{8}

Verify Solutions:

x = \frac{21 + 105}{8}

True

, x = \frac{21 - 105}{8}

False

The solution is

x = \frac{21 + 105}{8}

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

x + 8 = x - 4

16 - x^{2} - x = - 4

7 x + x = 0

2 x + x = 0

What is the answer to 2x-5=sqrt(x+4) ?
The answer to 2x-5=sqrt(x+4) is x=(21+sqrt(105))/8
Solve for x: 2x-5=sqrt(x+4)
The solution is x=(21+sqrt(105))/8