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Mathematics 20 Online
OpenStudy (anonymous):

underroot 15 -2x=x

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\[\LARGE{0=x^2+2x-15}\]

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):

\[\LARGE{0=x^2+5x-3x-15}\]

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 :)

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

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?

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

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