For questions 3-4 solve the equation using square roots.
A. x^2-81=0
B. 3x^2-147=0
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OpenStudy (anonymous):
will give medal
OpenStudy (anonymous):
is A -9,9 and B no real number solutions
OpenStudy (anonymous):
@phi @thomaster
OpenStudy (phi):
for A, add 81 to both sides. you get x^2 = 81
take the sqr of both sides: x= ±sqr(81)= ±9
OpenStudy (phi):
for B, first divide both sides (and all terms) by 3 to get
x^2- 49=0
now solve the same as in A
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OpenStudy (anonymous):
\[-\sqrt{9} \sqrt{9}\] is that right for A
OpenStudy (anonymous):
and b -49 49
OpenStudy (phi):
for A, it is \(\sqrt{81} \) which simplifies to +9 or -9
OpenStudy (anonymous):
oh so i switched the numbers ok
OpenStudy (phi):
for B
x^2- 49=0
add 49 to both sides
x^2 -49 + 49= 0+49
simplify (-49+49 on the left is 0)
x^2 = 49
now take the square root of both sides
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OpenStudy (anonymous):
7, -7 is the square root of 49, -49
OpenStudy (phi):
yes
OpenStudy (phi):
notice you run into trouble if the problem was
x^2 + 49 =0
we would add -49 to both sides:
x^2 + 49 - 49 = 0 - 49
simplify to
x^2 = -49 <-- TROUBLE sqr of a negative number