What is the answer to 4/x+1=x-3 ?

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

Solve for x: 4/x+1=x-3

The solution is x=2(1+sqrt(2)),x=2(1-sqrt(2))

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\frac{4}{x} + 1 = x - 3

x = 2 (1 + 2), x = 2 (1 - 2)

Decimal Notation

x = 4.82842 \dots, x = - 0.82842 \dots

Solution steps

\frac{4}{x} + 1 = x - 3

Move

1

to the right side

\frac{4}{x} = x - 4

Multiply both sides by

x

4 = x^{2} - 4 x

Solve

4 = x^{2} - 4 x : x = 2 (1 + 2), x = 2 (1 - 2)

x = 2 (1 + 2), x = 2 (1 - 2)

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 2 (1 + 2), x = 2 (1 - 2)

\frac{5}{4} = \frac{6}{x}

\frac{3 y}{y + 2} = 6 - \frac{6}{y + 2}

x, 11 - \frac{1}{x} = x

(y^{- 2}) = \frac{1}{y ^{2}}

y, x = \frac{1 + 3 y}{5 - 2 y}

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