What is the answer to (x+2)/4+3/(x-1)=7 ?

The answer to (x+2)/4+3/(x-1)=7 is x=(27+sqrt(577))/2 ,x=(27-sqrt(577))/2

Solve for x: (x+2)/4+3/(x-1)=7

The solution is x=(27+sqrt(577))/2 ,x=(27-sqrt(577))/2

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\frac{x + 2}{4} + \frac{3}{x - 1} = 7

x = \frac{27 + 577}{2}, x = \frac{27 - 577}{2}

Decimal Notation

x = 25.51041 \dots, x = 1.48958 \dots

Solution steps

\frac{x + 2}{4} + \frac{3}{x - 1} = 7

Multiply by LCM

(x + 2) (x - 1) + 12 = 28 (x - 1)

Solve

(x + 2) (x - 1) + 12 = 28 (x - 1) : x = \frac{27 + 577}{2}, x = \frac{27 - 577}{2}

x = \frac{27 + 577}{2}, x = \frac{27 - 577}{2}

Verify Solutions

Find undefined (singularity) points:

x = 1

Combine undefined points with solutions:

x = \frac{27 + 577}{2}, x = \frac{27 - 577}{2}

3 + \frac{10}{x} = \frac{1}{2}

x - 2 - \frac{( x - 2 ) ( x - 1 )}{x - 1} = 0

\frac{2}{x + 6} + 3 = \frac{x}{x + 6}

f, f^{- 1} (x) = x^{3} + 8

\frac{( n + 2 ) !}{n !} = 12

What is the answer to (x+2)/4+3/(x-1)=7 ?
The answer to (x+2)/4+3/(x-1)=7 is x=(27+sqrt(577))/2 ,x=(27-sqrt(577))/2
Solve for x: (x+2)/4+3/(x-1)=7
The solution is x=(27+sqrt(577))/2 ,x=(27-sqrt(577))/2