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

The answer to (x+2)/4+3/(x+2)=7 is x=2(6+sqrt(46)),x=2(6-sqrt(46))

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

The solution is x=2(6+sqrt(46)),x=2(6-sqrt(46))

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

x = 2 (6 + 46), x = 2 (6 - 46)

Decimal Notation

x = 25.56465 \dots, x = - 1.56465 \dots

Solution steps

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

Multiply by LCM

(x + 2)^{2} + 12 = 28 (x + 2)

Solve

(x + 2)^{2} + 12 = 28 (x + 2) : x = 2 (6 + 46), x = 2 (6 - 46)

x = 2 (6 + 46), x = 2 (6 - 46)

Verify Solutions

Find undefined (singularity) points:

x = - 2

Combine undefined points with solutions:

x = 2 (6 + 46), x = 2 (6 - 46)

\frac{1000 x - 20000}{1000 x} = 0.35

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

a, b = - \frac{c}{a}

\frac{1}{60} = \frac{20}{x}

\frac{2}{3 x} = 0

What is the answer to (x+2)/4+3/(x+2)=7 ?
The answer to (x+2)/4+3/(x+2)=7 is x=2(6+sqrt(46)),x=2(6-sqrt(46))
Solve for x: (x+2)/4+3/(x+2)=7
The solution is x=2(6+sqrt(46)),x=2(6-sqrt(46))