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

The answer to x-4=2sqrt(x+1) is x=2(3+sqrt(6))

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x-4=2sqrt(x+1)

x - 4 = 2 x + 1

x = 2 (3 + 6)

Decimal Notation

x = 10.89897 \dots

Solution steps

x - 4 = 2 x + 1

Square both sides:

x^{2} - 8 x + 16 = 4 x + 4

x^{2} - 8 x + 16 = 4 x + 4

Solve

x^{2} - 8 x + 16 = 4 x + 4 : x = 2 (3 + 6), x = 2 (3 - 6)

x = 2 (3 + 6), x = 2 (3 - 6)

Verify Solutions:

x = 2 (3 + 6)

True

, x = 2 (3 - 6)

False

The solution is

x = 2 (3 + 6)

7 x + 50 - 9 = - 1

3 x - x - 2 = 0

2 x - 3 = 11

7 x + 58 = x + 10

x + 37 + 8 = 14

What is the answer to x-4=2sqrt(x+1) ?
The answer to x-4=2sqrt(x+1) is x=2(3+sqrt(6))
Solve for x: x-4=2sqrt(x+1)
The solution is x=2(3+sqrt(6))