Question

How to factor

2x^2 - 1

Answer 1

its already factored .-.

Answer 2

Ok so 2x^2 - 1 has solutions

2x^2 = 1
2x^2 = 1/2
sqr(x^2) = sqr(1/2)
ok I am stuck here to finding the solutions

Answer 3

Thats not right .-. if you were to sqrt the 2 and then you'd be left with
\[(\sqrt{2}+1)(\sqrt{2}-1)\]
diffrence of squares .-.

Answer 4

How do I get the solutions ?

Answer 5

Sqrt both numbers since its the difference of 2 squares ._.

Answer 6

a^2-b^2=(a+b)(a-b)
a=sqrt(2)x
b=1

Answer 7

Ah ok I see now. Thank you.

Answer 8

\[(\sqrt{2}x+1)(\sqrt{2}x−1)\]

Answer 9

im sorry i meant that ^

Answer 10

I got it. Thank you!

Answer 11

:)
oh and this part too
a^2-b^2
=\((\sqrt2 x)^2-1^2=2x^2-1\)

Answer 12

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Answer 13

TY