Question

Solve for x:LaTeX: \frac{x^2}{0.160-x}\:=\:0.058

Answer 1

Answer: The values of 'x' are 0.074 and -0.132

Step-by-step explanation:

The equation given to us is:

`(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=(-b\pm √(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=(-0.058\pm √((0.058)^2-4(1)(0.009744)))/(2* 1)\\\\x=0.074,-0.132`

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