What is the answer to 5.4=(x^2)/(((2-x)^2)) ?

The answer to 5.4=(x^2)/(((2-x)^2)) is x=(3(9+sqrt(15)))/(11),x=(3(9-sqrt(15)))/(11)

Solve for x: 5.4=(x^2)/(((2-x)^2))

The solution is x=(3(9+sqrt(15)))/(11),x=(3(9-sqrt(15)))/(11)

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5.4 = \frac{x ^{2}}{( ( 2 - x ) ^{2} )}

x = \frac{3 ( 9 + 15 )}{11}, x = \frac{3 ( 9 - 15 )}{11}

Decimal Notation

x = 3.51081 \dots, x = 1.39827 \dots

Solution steps

5.4 = \frac{x ^{2}}{( ( 2 - x ) ^{2} )}

Simplify

\frac{x ^{2}}{( ( 2 - x ) ^{2} )} : \frac{x ^{2}}{( 2 - x ) ^{2}}

5.4 = \frac{x ^{2}}{( 2 - x ) ^{2}}

Multiply both sides by

(2 - x)^{2}

5.4 (2 - x)^{2} = x^{2}

Solve

5.4 (2 - x)^{2} = x^{2} : x = \frac{3 ( 9 + 15 )}{11}, x = \frac{3 ( 9 - 15 )}{11}

x = \frac{3 ( 9 + 15 )}{11}, x = \frac{3 ( 9 - 15 )}{11}

Verify Solutions

Find undefined (singularity) points:

x = 2

Combine undefined points with solutions:

x = \frac{3 ( 9 + 15 )}{11}, x = \frac{3 ( 9 - 15 )}{11}

\frac{- ( 28 q ^{2} + 57 q - 144 ) \cdot 1}{( 2 q ^{3} )} = q - 6

\frac{n !}{( n - 2 ) !} = 240

\frac{3}{2 x - 4} = 0.5

\frac{2 x - 1}{3} = \frac{1}{5 - x}

x, \frac{2}{x} - \frac{3}{y} = 9

What is the answer to 5.4=(x^2)/(((2-x)^2)) ?
The answer to 5.4=(x^2)/(((2-x)^2)) is x=(3(9+sqrt(15)))/(11),x=(3(9-sqrt(15)))/(11)
Solve for x: 5.4=(x^2)/(((2-x)^2))
The solution is x=(3(9+sqrt(15)))/(11),x=(3(9-sqrt(15)))/(11)