KhassidyA78042 KhassidyA78042
  • 03-11-2022
  • Mathematics
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How do we solve this the short way by using a calculator??

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

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TamzynC107041 TamzynC107041
  • 03-11-2022

Given

The expression is given as

[tex]x(0.01+x)=3.2\times10^{-7}[/tex]

Explanation

To determine the value of x,

[tex]\begin{gathered} 0.01x+x^2=3.2\times10^{-7} \\ x^2+0.01x-3.2\times10^{-7}=0 \end{gathered}[/tex]

Now apply the quadratic formula.

[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

Substitute the values.

[tex]x=\frac{-0.01\pm\sqrt{0.01^2-4\times1\times(-3.2\times10^{-7})}}{2}[/tex]

Solving the equation we get,

x=-0.01003,0.00003.

Answer

Hence the value of x are

[tex]x=-0.01003,x=0.00003[/tex]

Answer Link

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