Solve for x.
3x^2 – 75 = 0
A.
{25, –25}
B.
{25}
C.
{5}
D.
{5, –5}
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jagr2713 (jagr2713):
Ok first we ad 75 on both sides right @♥Ashley♥
jagr2713 (jagr2713):
what will we have left
OpenStudy (♥ashley♥):
3x^2=0+75
jagr2713 (jagr2713):
no we add 5 on both sides s the 0 is gone right?
OpenStudy (♥ashley♥):
yes
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jagr2713 (jagr2713):
so we are left with
3x2=75
jagr2713 (jagr2713):
What do we do next @♥Ashley♥
OpenStudy (♥ashley♥):
Divide 3x^2 on both sides
jagr2713 (jagr2713):
yes an what do u get
OpenStudy (kidrah69):
3x2−75=0 <---equation
Add 75 to both sides
3x2=75
Divide both sides by 3
x2=75/3
Simplify 75/3 to 25
x2=25
Take the square root of both sides this way we get rid of x^2
x=±25
Simplify the square root of 25 to 5
x=±5
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jagr2713 (jagr2713):
No we actually divide by 3 on both sides
jagr2713 (jagr2713):
@kidrah69 it better to guide them to the answer, not doing it for them
OpenStudy (kidrah69):
I did not give them the answer :) i showed my work
OpenStudy (kidrah69):
And they will better understand if it is split into steps :)
OpenStudy (♥ashley♥):
75/3=25
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jagr2713 (jagr2713):
Do you understand
OpenStudy (♥ashley♥):
So the answer is 25 right
OpenStudy (kidrah69):
@♥Ashley♥ no whats the square root of 25
OpenStudy (♥ashley♥):
5
OpenStudy (kidrah69):
yeah its positive negative 5
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OpenStudy (kidrah69):
since we square rooted it :) look at my work above