What is the answer to (x+26)/(sqrt(x+1))=12 ?

The answer to (x+26)/(sqrt(x+1))=12 is x=2(23+6sqrt(11)),x=2(23-6sqrt(11))

Solve for x: (x+26)/(sqrt(x+1))=12

The solution is x=2(23+6sqrt(11)),x=2(23-6sqrt(11))

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\frac{x + 26}{x + 1} = 12

x = 2 (23 + 611), x = 2 (23 - 611)

Decimal Notation

x = 85.79949 \dots, x = 6.20050 \dots

Solution steps

\frac{x + 26}{x + 1} = 12

Multiply both sides by

x + 1

\frac{x + 26}{x + 1} x + 1 = 12 x + 1

Simplify

x + 26 = 12 x + 1

Square both sides:

x^{2} + 52 x + 676 = 144 x + 144

x^{2} + 52 x + 676 = 144 x + 144

Solve

x^{2} + 52 x + 676 = 144 x + 144 : x = 2 (23 + 611), x = 2 (23 - 611)

x = 2 (23 + 611), x = 2 (23 - 611)

Verify Solutions:

x = 2 (23 + 611)

True

, x = 2 (23 - 611)

True

The solutions are

x = 2 (23 + 611), x = 2 (23 - 611)

6 x - 400 - 5 x (x - 4) = 0

2 x^{2} + x - 1 - x = 5 - 2 x

2 x + 3 - x + 2 = 0

(x - 5)^{\frac{2}{3}} = 8

6 x = 3

What is the answer to (x+26)/(sqrt(x+1))=12 ?
The answer to (x+26)/(sqrt(x+1))=12 is x=2(23+6sqrt(11)),x=2(23-6sqrt(11))
Solve for x: (x+26)/(sqrt(x+1))=12
The solution is x=2(23+6sqrt(11)),x=2(23-6sqrt(11))