Question

How do we solve this the short way by using a calculator??

Answer 1

Given

The expression is given as

`x(0.01+x)=3.2*10^(-7)`

Step-by-step explanation

To determine the value of x,

`\begin{gathered} 0.01x+x^2=3.2*10^(-7) \\ x^2+0.01x-3.2*10^(-7)=0 \end{gathered}`

Now apply the quadratic formula.

`x=(-b\pm√(b^2-4ac))/(2a)`

Substitute the values.

`x=\frac{-0.01\pm\sqrt{0.01^2-4*1*(-3.2*10^(-7))}}{2}`

Solving the equation we get,

x=-0.01003,0.00003.

Answer

Hence the value of x are

`x=-0.01003,x=0.00003`