What are the zeros of 2x^2-4x-14
You can calculate the zeros by taking the factors of the first term and the last term (1,2,7,14) and use synthetic division to figure it out. Or factor it :p There is really a lot of ways to go about it.
I factored it to 2(x^2-2x-7) but idk where to go from there :(
You continue factoring?
\(2x^2-4x-14=0\implies x^2-2x-7=0\\(x-1)^2-7-1=0\\(x-1)^2=8\\x-1=\pm \sqrt{8}=\pm2\sqrt{2}\\x=\pm 2 \sqrt{2}+1\)
Well, there you have it ^. But learn to do it...it's easy. Or use wolfram alpha.
Thank you!!
for these ones when you cant use the a,c method, you can use the quadratic formula or you can complete the square. I suggest learning to complete the square because it will always work and is not that hard.
I just took half the middle term "-1" and then you do (x+(-1))^2-7-(-1)^2 = (x-1)^2-8
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