CaidanP157107 CaidanP157107
  • 03-11-2022
  • Mathematics
contestada

Solve the equation, give the exact solution then approximate the solution to the nearest hundredth

Solve the equation give the exact solution then approximate the solution to the nearest hundredth class=

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RuthvikM352108 RuthvikM352108
  • 03-11-2022

Given the expression:

[tex]10-3x^2=4[/tex]

We can find its solution by solving like a linear equation up until the exponent:

[tex]\begin{gathered} 10-3x^2=4 \\ \Rightarrow-3x^2=4-10 \\ \Rightarrow-3x^2=-6 \\ \Rightarrow x^2=\frac{-6}{-3}=2 \\ x^2=2 \end{gathered}[/tex]

now, we can apply the square root on both sides to get the following:

[tex]\begin{gathered} \sqrt[]{x^2}=\sqrt[]{2} \\ \Rightarrow x=\pm\sqrt[]{2=} \\ x=\pm1.41 \end{gathered}[/tex]

therefore, the solutions of the equation are x=1.41 and x=-1.41

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