Question

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

Answer 1

Answer:

The greatest value of $x$ is in equation

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

Step-by-step explanation:

Equation (1) :

$x^2=17$

Take square root of both side

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

Equation (2) :

$x^2=26$

Take square root of both side

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

Equation (3) :

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

Take cube root both side

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

Equation (4) :

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

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