What is the answer to 1/(3+x)=(5+x)/6 ?

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

Solve for x: 1/(3+x)=(5+x)/6

The solution is x=-4+sqrt(7),x=-4-sqrt(7)

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\frac{1}{3 + x} = \frac{5 + x}{6}

x = - 4 + 7, x = - 4 - 7

Decimal Notation

x = - 1.35424 \dots, x = - 6.64575 \dots

Solution steps

\frac{1}{3 + x} = \frac{5 + x}{6}

Cross multiply

6 = (3 + x) (5 + x)

Solve

6 = (3 + x) (5 + x) : x = - 4 + 7, x = - 4 - 7

x = - 4 + 7, x = - 4 - 7

Verify Solutions

Find undefined (singularity) points:

x = - 3

Combine undefined points with solutions:

x = - 4 + 7, x = - 4 - 7

ln (9) = \frac{- 36 \cdot 1 0 ^{10}}{x}

\frac{y - 1}{3 y} = 4

x, a = \frac{( 2 x + f )}{( x - 2 f )}

n = \frac{18 - 15}{( 8 - 5 ) \cdot x ^{3} + 7}

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

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