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II. Solve the following items. Show all the necessary solutions. 1. Find two positive real numbers whose sum is 26 and product is maximum 2 pts.) 2 Find the equation of the quadratic function whose zeros are the squares of the zeros of y=x²-3x-10​

II Solve The Following Items Show All The Necessary Solutions 1 Find Two Positive Real Numbers Whose Sum Is 26 And Product Is Maximum 2 Pts 2 Find The Equation class=

Sagot :

[tex]Question & Solution:[/tex]

1. Find two positive real numbers whose sum is 26 and product is maximum

Let the number be x and (26-x).Their product is

  • [tex]y = x(26 - x) \: or[/tex]

dy/dx=x*(-1) + (26-x) = 26-x2=0 or x=13

d2y/dx^2= -2,meaning that there is a maximum value at x=13.

The product of the two number=13*13=169

  • 13 and 13

2 Find the equation of the quadratic function whose zeros are the squares of the zeros of y=x²-3x-10

  • 5 and -2

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Answer:

  1. 13 and 13
  2. 5 and -2

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