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musickatia [10]
4 years ago
8

Which of the following equations represents the greatest value of x?

Mathematics
1 answer:
-Dominant- [34]4 years ago
6 0

Answer:

The greatest value of x is in equation

(2), x=\sqrt{26}\approx5.09

Step-by-step explanation:

<u>Equation (1) :</u>

x^2=17

Take square root of both side

\sqrt{x^2}=\sqrt{17}\\\\(x^2)^{\frac{1}{2}}=\sqrt{17}\\\\x\approx4.12

<u>Equation (2) :</u>

x^2=26

Take square root of both side

\sqrt{x^2}=\sqrt{26}\\\\(x^2)^{\frac{1}{2}}=\sqrt{26}\\\\x\approx5.09

<u>Equation (3) :</u>

x^3=64\\\\x^3=4\times4\times4\\\\x^3=4^3

Take cube root both side

\sqrt[3]{x^3}=\sqrt[3]{4^3}  \\\\(x^3)^{\frac{1}{3}}=(4^3)^{\frac{1}{3}}\\\\x=4

<u>Equation (4) :</u>

x^3=27\\\\x^3=3\times3\times3\\\\x^3=3^3

Take\ cube\ root\ both\ side\\\\(x^3)^{\frac{1}{3}}=(3^3)^{\frac{1}{3}}\\\\x=3

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