What is the answer to sqrt(x+4)+1=(x-9)/2 ?

The answer to sqrt(x+4)+1=(x-9)/2 is x=21

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sqrt(x+4)+1=(x-9)/2

x + 4 + 1 = \frac{x - 9}{2}

x = 21

Solution steps

x + 4 + 1 = \frac{x - 9}{2}

Multiply both sides by

2

x + 4 \cdot 2 + 1 \cdot 2 = \frac{x - 9}{2} \cdot 2

Simplify

2 x + 4 + 2 = x - 9

Remove square roots

4 x + 16 = x^{2} - 22 x + 121

Solve

4 x + 16 = x^{2} - 22 x + 121 : x = 21, x = 5

x = 21, x = 5

Verify Solutions:

x = 21

True

, x = 5

False

The solution is

x = 21

x^{2} - 4 2 x - 10 = 0

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

x - 3 x - 10 = 0

3 = 4 + (1 + y)^{2}

4 2 x + 3 = 6 x + 1

What is the answer to sqrt(x+4)+1=(x-9)/2 ?
The answer to sqrt(x+4)+1=(x-9)/2 is x=21
Solve for x: sqrt(x+4)+1=(x-9)/2
The solution is x=21