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OverLord2011 [107]
3 years ago
15

Hi, Can someone help me with this problem? Thanks in advance!

Mathematics
1 answer:
Gnesinka [82]3 years ago
6 0
\bf QP^{\frac{1}{2}}=38\implies \stackrel{\textit{product rule}}{\cfrac{dQ}{dP}P^{\frac{1}{2}}+Q\cdot \cfrac{1}{2}P^{-\frac{1}{2}}}=0\implies \cfrac{dQ}{dP}P^{\frac{1}{2}}=-\cfrac{Q}{2P^{\frac{1}{2}}}
\\\\\\
\cfrac{dQ}{dP}=-\cfrac{Q}{2P^{\frac{1}{2}}P^{\frac{1}{2}}}\implies \cfrac{dQ}{dP}=-\cfrac{Q}{2P}\impliedby \textit{now, let's zero it out}
\\\\\\
\stackrel{\textit{horizontal tangent line}}{0=-\cfrac{Q}{2P}}\implies 0=-Q\implies 0=Q   

now, how to check it? well, graphing the equation, to check where it may have an extrema, namely a horizontal tangent line, check the picture below, low and behold, Q = 0 when that happens.

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Answer:

x = \frac{7+\sqrt{47}\times i }{4}

Step-by-step explanation:

<u>To solve quadratic systems,we always substitute one variable in terms if the other and then solve the equation.</u>

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y - 5 = (x-2)^{2}         ---------------(2)

y = (x-2)^{2} + 5         ---------------(3)

Substitute (3) in (1) ,

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x + 2( x^{2} - 4x + 4 + 5 ) = 6

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The roots of the quadratic equation ax^{2}  +bx+c is

x = \frac{(-b) + \sqrt{(-b)^{2}-4 \times ac }  }{2 \times a}  -----------(5)

According to equation (5),solution of (4) is

x =  \frac{7 + \sqrt{(-7)^{2}-4 \times 24 }  }{2 \times 2}

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4 0
3 years ago
Wha equivalent to -5+-3
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3 years ago
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3 years ago
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