Question

Solve the equation -2=3-7 5sqrt x^2

Answer 1

Answer:

B. 0.43, -0.43

Step-by-step explanation:

The given equation is

$-2=3-7\sqrt[5]{x^2}$

Combine similar terms to get:

$-2-3=-7\sqrt[5]{x^2}$

$-5=-7\sqrt[5]{x^2}$

$\sqrt[5]{x^2}=\frac{5}{7}$

$x^2=(\frac{5}{7})^5$

$x^2=\frac{3125}{16807}$

$x=\pm \sqrt{\frac{3125}{16807}}$

$x=\pm 0.43$

$x=0.43$ or $x=-0.43$

The correct answer is B.

Answer 2

Answer:

B

Step-by-step explanation:

First subtract 3 from the equation:

$-2-3=3-7\sqrt[5]{x^2}-3\\ \\-5=-7\sqrt[5]{x^2}$

Now divide the equation by -7:

$\sqrt[5]{x^2}=\dfrac{5}{7}$

Now raise the equation to the 5th power:

$x^2=\left(\dfrac{5}{7}\right)^5$

Take square root:

$x=\pm \sqrt{\left(\dfrac{5}{7}\right)^5} =\pm \dfrac{25}{49}\sqrt{\dfrac{5}{7}} \\ \\x_1\approx 0.43\\ \\x_2\approx -0.43$