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

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

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

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

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

x = 6 + 6, x = 6 - 6

Decimal Notation

x = 8.44948 \dots, x = 3.55051 \dots

Solution steps

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

Multiply by LCM

(x + 3) (x - 3) + 3 = 12 (x - 3)

Solve

(x + 3) (x - 3) + 3 = 12 (x - 3) : x = 6 + 6, x = 6 - 6

x = 6 + 6, x = 6 - 6

Verify Solutions

Find undefined (singularity) points:

x = 3

Combine undefined points with solutions:

x = 6 + 6, x = 6 - 6

\frac{x ^{2} + 1}{x} = 3

\frac{100 - x}{x - 91} = \frac{15}{3}

6 p - \frac{2}{p} = 1

\frac{1}{x ^{a}}

\frac{x + 6}{3 - x} = \frac{5 + 2 x}{7 x - 5}

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