Solve for x: latex: \frac{x^2}{0.160-x}\: =\: - id201600052310396, maribelarreolap4sgpj

Ответ:

lizzieee51

02.01.2022

The values of 'x' are 0.074 and -0.132

Explanation:

The equation given to us is:

$\frac{x^2}{0.160-x}=0.058$

Rearranging the above equation, we get a quadratic equation:

x^2+0.058x-0.009744=0

To solve this equation, we use quadratic formula, which is:

$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

where,

a = coefficient of x^2 = 1

b = coefficient of x = 0.058

c = constant = 0.009744

Putting values in above equation, we get:

$x=\frac{-0.058\pm \sqrt{(0.058)^2-4(1)(0.009744)}}{2\times 1}\\\\x=0.074,-0.132$

Hence, the values of 'x' are 0.074 and -0.132

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