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OpenStudy (anonymous):
Solve. 5x2 – 20 = 0
x = 5 and x = 4
x = 4 and x = 2
x = –5 and x = 20
x = 2 and x = –2
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OpenStudy (diyadiya):
Step 1: Add 20 on both sides
OpenStudy (diyadiya):
Step 2: divide both sides by 5
OpenStudy (diyadiya):
Can you try that?
OpenStudy (diyadiya):
Sorry, did i make any mistake? :S
OpenStudy (anonymous):
If you factored out 5 first then you will get:
\[5(x^2 - 4) = 0 \implies 5(x^2 - 2^2) = 0\]
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OpenStudy (anonymous):
IM CONFUSED
OpenStudy (diyadiya):
\(5x^2-20=0 \)
\(x^2 = 4 \)
When you take square root on both sides you'll get two solutions, right?
OpenStudy (anonymous):
yes but sometimes it will not be applicable..
Like:
\[x^2 = 4x\]
you can't cancel x here..
OpenStudy (anonymous):
You are right diya sorry my misunderstanding...
OpenStudy (diyadiya):
Its Okay, No Problem :)
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OpenStudy (anonymous):
@harrisonshields just do the same what diya told you to do..
OpenStudy (anonymous):
ok so if x^2 = 4
OpenStudy (diyadiya):
@harrisonshields
\(5x^2-20=0 \)
Add 20 on both sides
\(5x^2 - 20 +20 = 20 \)
\(5x^2=20\)
Divide both sides by 5
\(5x^2/5 = 20/5 \)
\(x^2 = 4 \)
OpenStudy (anonymous):
i get 2 and 4/2?
OpenStudy (anonymous):
Don't you think they both are same @harrisonshields
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OpenStudy (anonymous):
oh so - and + 2
OpenStudy (diyadiya):
\[\sqrt{x^2}=\sqrt{4}\]\[x= \pm 2\]
OpenStudy (anonymous):
Are you hungry??
Then why you ate 2?? @harrisonshields
ha ha ha.
OpenStudy (diyadiya):
Right! @harrisonshields
\(\pm 2 \) because \( 2^2 = (-2)^2 = 4\)
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