Question

What is the easiest way to solve this: 5x^2-180=0?

Answer 1

Hi welcome to openstudy :)
You can add 180 to both sides then use the differences of 2 squares method

Answer 2

\[\huge~\rm~5x^2−180+180=0+180\]

Answer 3

Can you tell me what equation we would have once we add 180 to both sides?

Answer 4

5x^2=180

Answer 5

Good now let's try isolating x
5/5=x^2
180/5= ?

Answer 6

180/5=36

Answer 7

Good
Now we have
\[\huge~\rm~x^2=36\]
Let's use the difference of 2 squares method basically all we do is square root both numbers :)
\[\huge~\rm~\sqrt{x^2}=\sqrt{36}\]
Can you tell me what the answer is? :)

Answer 8

x=6

Answer 9

Correct but we would have
\[\huge~\rm~x=6 ~AND~ x=-6\]because we square rooted the 36 there are 2 possible answers :)

Answer 10

thank you:)

Answer 11

yw :D ^_^
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