What is the answer to (xpi)/(sqrt(1-x^2))=1.61 ?

The answer to (xpi)/(sqrt(1-x^2))=1.61 is x=sqrt((2.5921)/(pi^2+2.5921))

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(xpi)/(sqrt(1-x^2))=1.61

\frac{x π}{1 - x ^{2}} = 1.61

x = \frac{2.5921}{π ^{2} + 2.5921}

Decimal Notation

x = 0.45607 \dots

Solution steps

\frac{x π}{1 - x ^{2}} = 1.61

Multiply both sides by

1 - x^{2}

\frac{x π}{1 - x ^{2}} 1 - x^{2} = 1.61 1 - x^{2}

Simplify

π x = 1.61 1 - x^{2}

Square both sides:

π^{2} x^{2} = 2.5921 - 2.5921 x^{2}

π^{2} x^{2} = 2.5921 - 2.5921 x^{2}

Solve

π^{2} x^{2} = 2.5921 - 2.5921 x^{2} : x = \frac{2.5921}{π ^{2} + 2.5921}, x = - \frac{2.5921}{π ^{2} + 2.5921}

x = \frac{2.5921}{π ^{2} + 2.5921}, x = - \frac{2.5921}{π ^{2} + 2.5921}

Verify Solutions:

x = \frac{2.5921}{π ^{2} + 2.5921}

True

, x = - \frac{2.5921}{π ^{2} + 2.5921}

False

The solution is

x = \frac{2.5921}{π ^{2} + 2.5921}

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(6 x + 9)^{0.5} + 3 = x

25.9 = 2 (9.8) h

2 = 2 x - x^{2}

70 = 4 (30 - q)

What is the answer to (xpi)/(sqrt(1-x^2))=1.61 ?
The answer to (xpi)/(sqrt(1-x^2))=1.61 is x=sqrt((2.5921)/(pi^2+2.5921))