What is the answer to (x^2+x^2)/((x+1)^2)=3 ?

The answer to (x^2+x^2)/((x+1)^2)=3 is x=-3+sqrt(6),x=-3-sqrt(6)

Solve for x: (x^2+x^2)/((x+1)^2)=3

The solution is x=-3+sqrt(6),x=-3-sqrt(6)

Popular >

\frac{x ^{2} + x ^{2}}{( x + 1 ) ^{2}} = 3

x = - 3 + 6, x = - 3 - 6

Decimal Notation

x = - 0.55051 \dots, x = - 5.44948 \dots

Solution steps

\frac{x ^{2} + x ^{2}}{( x + 1 ) ^{2}} = 3

Simplify

\frac{x ^{2} + x ^{2}}{( x + 1 ) ^{2}} : \frac{2 x ^{2}}{( x + 1 ) ^{2}}

\frac{2 x ^{2}}{( x + 1 ) ^{2}} = 3

Multiply both sides by

(x + 1)^{2}

2 x^{2} = 3 (x + 1)^{2}

Solve

2 x^{2} = 3 (x + 1)^{2} : x = - 3 + 6, x = - 3 - 6

x = - 3 + 6, x = - 3 - 6

Verify Solutions

Find undefined (singularity) points:

x = - 1

Combine undefined points with solutions:

x = - 3 + 6, x = - 3 - 6

\frac{3}{7 + x} = \frac{17}{7}

\frac{x ^{3} - 8 x ^{3}}{( x + 2 ) ^{3}} = 7

x + \frac{1}{x} = 5, x^{2} + \frac{1}{( x ^{2} )} =, x^{3} + \frac{1}{( x ^{3} )}

\frac{x - 1}{4} = \frac{1}{4 - x}

\frac{( 5 + x )}{( 100 + x )} = 0.24

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