Question

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

Answer 1

B

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}=(5)/(7)`

Now raise the equation to the 5th power:

`x^2=\left((5)/(7)\right)^5`

Take square root:

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

Answer 2

B. 0.43, -0.43

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}=(5)/(7)`

`x^2=((5)/(7))^5`

`x^2=(3125)/(16807)`

`x=\pm \sqrt{(3125)/(16807)}`

`x=\pm 0.43`

`x=0.43` or
`x=-0.43`

The correct answer is B.