Help me solve the quadratic formula?

2x^2 = 200

See the thing about this question is that, the answer is quite obvious. 2 x 10 squared equals 100, and it's simple as that if you just think about it. Would it honestly be necessary to work out a whole quadratic formula? To explain what they're asking for, their showing me an an example of how a student wrote their formula down, but they think it's too long and want me to give a simple, more better method?

The method I eventually worked up was;

x = -10 pm sqrt{(0)^2 - 4(2)(-200)}
x = 0 pm sqrt{1600}
x = pm \frac{ 40 }{ 4 }

Question

Help me solve the quadratic formula?

2x^2 = 200

See the thing about this question is that, the answer is quite obvious. 2 x 10 squared equals 100, and it's simple as that if you just think about it. Would it honestly be necessary to work out a whole quadratic formula? To explain what they're asking for, their showing me an an example of how a student wrote their formula down, but they think it's too long and want me to give a simple, more better method? 

The method I eventually worked up was;

x = -10 pm sqrt{(0)^2 - 4(2)(-200)}
x = 0 pm sqrt{1600}
x = pm \frac{ 40 }{ 4 }

anonymous · Answer

$$x = -0 \pm \sqrt{(0)^2 - 4(20)(-200)}$$
$$x = 0 \pm \sqrt{1600}$$
$$x = \pm \frac{ 40 }{ 4 }$$
x = 10 and - 10
{10, -10}

Is there an easier method than what I stated in my first post?

solomonzelman · Answer

divide both sides by 2.
take the square root of both sides.

anonymous · Answer

the solution(s) would be x=-10 or x=10.