What is the answer to (x-1)/4+5/(x+3)= 7/2 ?

The answer to (x-1)/4+5/(x+3)= 7/2 is x=6+sqrt(61),x=6-sqrt(61)

Solve for x: (x-1)/4+5/(x+3)= 7/2

The solution is x=6+sqrt(61),x=6-sqrt(61)

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\frac{x - 1}{4} + \frac{5}{x + 3} = \frac{7}{2}

x = 6 + 61, x = 6 - 61

Decimal Notation

x = 13.81024 \dots, x = - 1.81024 \dots

Solution steps

\frac{x - 1}{4} + \frac{5}{x + 3} = \frac{7}{2}

Multiply by LCM

(x - 1) (x + 3) + 20 = 14 (x + 3)

Solve

(x - 1) (x + 3) + 20 = 14 (x + 3) : x = 6 + 61, x = 6 - 61

x = 6 + 61, x = 6 - 61

Verify Solutions

Find undefined (singularity) points:

x = - 3

Combine undefined points with solutions:

x = 6 + 61, x = 6 - 61

12 (2 - x) = \frac{8}{3 \times ( 1 - 2 x )}

c = \frac{5 d + 4 w}{2 w}

a, p = \frac{f}{a}

\frac{4}{5 x} - 3 = \frac{2}{x}

u, \frac{1}{f} = \frac{1}{u} + \frac{1}{v}

What is the answer to (x-1)/4+5/(x+3)= 7/2 ?
The answer to (x-1)/4+5/(x+3)= 7/2 is x=6+sqrt(61),x=6-sqrt(61)
Solve for x: (x-1)/4+5/(x+3)= 7/2
The solution is x=6+sqrt(61),x=6-sqrt(61)