What is the answer to ((x+1)^2+14)/(4x+5)=n ?

The answer to ((x+1)^2+14)/(4x+5)=n is x=-1+2n+sqrt(4n^2+n-14),x=-1+2n-sqrt(4n^2+n-14)

Popular >

((x+1)^2+14)/(4x+5)=n

\frac{( x + 1 ) ^{2} + 14}{4 x + 5} = n

x = - 1 + 2 n + 4 n^{2} + n - 14, x = - 1 + 2 n - 4 n^{2} + n - 14

Solution steps

\frac{( x + 1 ) ^{2} + 14}{4 x + 5} = n

Simplify

\frac{( x + 1 ) ^{2} + 14}{4 x + 5} : \frac{x ^{2} + 2 x + 15}{4 x + 5}

\frac{x ^{2} + 2 x + 15}{4 x + 5} = n

Multiply both sides by

4 x + 5

x^{2} + 2 x + 15 = n (4 x + 5)

Solve

x^{2} + 2 x + 15 = n (4 x + 5) : x = - 1 + 2 n + 4 n^{2} + n - 14, x = - 1 + 2 n - 4 n^{2} + n - 14

x = - 1 + 2 n + 4 n^{2} + n - 14, x = - 1 + 2 n - 4 n^{2} + n - 14

\frac{1}{x ^{2}} - \frac{5}{x} + 2 = 0

\frac{5}{( 2 x ^{2} )} - \frac{1}{( 6 x ^{2} )} = \frac{7}{12}

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

\frac{1}{2 \cdot ( x + \frac{1}{5} )} = \frac{9}{5}

\frac{2}{( 5 x )} - \frac{1}{30} = \frac{5}{( 2 x )}

What is the answer to ((x+1)^2+14)/(4x+5)=n ?
The answer to ((x+1)^2+14)/(4x+5)=n is x=-1+2n+sqrt(4n^2+n-14),x=-1+2n-sqrt(4n^2+n-14)