Mathematics
20 Online
OpenStudy (anonymous):
underroot 15 -2x=x
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OpenStudy (jiteshmeghwal9):
square both sides\[\LARGE{{(\sqrt{15-2x})^2=x^2}}\]
OpenStudy (anonymous):
oh square both sides?
OpenStudy (jiteshmeghwal9):
so now it becomes\[\LARGE{15-2x=x^2}\]
OpenStudy (anonymous):
then?
OpenStudy (jiteshmeghwal9):
now\[\LARGE{0=x^2+2x-15}\]
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OpenStudy (jiteshmeghwal9):
now solve this equation
OpenStudy (jiteshmeghwal9):
can u @annie1111 ??
OpenStudy (anonymous):
no I am lost
OpenStudy (jiteshmeghwal9):
ok first factor L.H.S
OpenStudy (jiteshmeghwal9):
\[\LARGE{0=x^2+5x-3x-15}\]
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OpenStudy (jiteshmeghwal9):
\[\LARGE{0=x(x+5)-3(x+5)}\]
OpenStudy (jiteshmeghwal9):
\[\LARGE{0=(x-3)(x+5)}\]
OpenStudy (anonymous):
\[x = \frac{-b \pm {\sqrt{b^{2}-4ac}}}{2a}\]
OpenStudy (jiteshmeghwal9):
so now roots come as
x=3 & 5
OpenStudy (jiteshmeghwal9):
hence it is ur answer @annie1111 :)
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OpenStudy (jiteshmeghwal9):
gt it @annie1111 ???????
OpenStudy (anonymous):
oh but in the book the anser is 3 only?
OpenStudy (anonymous):
maybe they ignore negative values
OpenStudy (anonymous):
ok
OpenStudy (anonymous):
but there is no negative valu ehere 5 and 3 both are positive
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OpenStudy (anonymous):
and just check ur answer by substituting
OpenStudy (anonymous):
I did it only says 3 as the answer
OpenStudy (anonymous):
so 3 is only the answer;)
OpenStudy (anonymous):
did u understnd?
OpenStudy (anonymous):
yeah but what happened to 5?
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OpenStudy (jiteshmeghwal9):
sorry x=3&-5
OpenStudy (anonymous):
(x-3)(x+5) = 0
x-3 = 0
X= 3 (one answer)
x+5 = 0
x = -5 ( second answer)
now substitute both answers in the equation 15 -2x = x^2
15 - 2(3) = 9