Question

How would you solve k squared = 16? This is solving quadratic equations by taking square roots.

Answer 1

\[k^2=16\]
move the 16 over
\[k^2-16=0\]
this is a difference of squares

Answer 2

Am i now adding 16?

Answer 3

no we just moved it over

difference of squares
x^2-a^2=(x-a)(x+a)

Answer 4

woah..

Answer 5

so what exactly is the next step? o.o

Answer 6

well
k^2-16= (k-4)(k+4)=0

this means that
k-4=0 & k+4=0
so we solve for both k's

Answer 7

oh yeah!

Answer 8

or you can just find the square root of both sides of the initial problem

\[\sqrt{k^2}=\sqrt{16}\]
just remember
\[\sqrt{1}=\pm 1\]

Answer 9

oh yeahhh, ok cool

Answer 10

2 method of solving, both give the same answer

Answer 11

so i leave the answer as k-4 =0 and k+4+0?

Answer 12

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