Question

Solve the equation and this is an assignment btw​

Answer 1

The answer is:

z² = 6, -6

Work/explanation:

The equation is:

`\sf{7z^2=252}`

To solve further, divide each side by 7.

`\sf{z^2=36}`

Now, square root each side. Take caution, however, when you're taking the square root of a number, you get two solutions that are opposites of each other:

`\sf{√(a^2) =a,-a}}`

Similarly

`\sf{z^2=6,-6}`

Answer 2

z=6 and z=-6

Explanation:

`7z^2=252`

Divide both sides by 7

`(7z^2)/(7) =(252)/(7) \\z^2=36`

Find the square root

z=±√36

z=±6

Therefore, z=6 and z=-6.

I hope this helps!