How long does it take the giraffe to weigh 85 kg?

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The discussion revolves around solving a quadratic equation to determine how long it takes a giraffe to reach a weight of 85 kg, using the formula W=(t^2)/4-t+68. Participants clarify that the equation needs to be rearranged to set it equal to zero, resulting in t^2-4t-68=0. Various methods for solving the equation are discussed, including the quadratic formula and completing the square. The correct positive solution for t is approximately 10.5 months, as negative values are not applicable in this context. The conversation emphasizes the importance of understanding the steps involved in solving quadratic equations.
  • #31
HallsofIvy said:
No, that's not what he is talking about.

happyg1, you don't have to set an expression to 0 to solve an equation. Here, of course, you could subtract 340 from both sides to get x2- 4t- 68= 0 and try to factor. However, I don't think it will be so easy to factor this.

My favored way of solving x2-4t+ 272=340 would be to subtract 272 from both sides: x2- 4t= 68 and then complete the square.

Can you spell out how to go from there? I've only been thought how to solve for zero, if there is a neat way of doing it for any number I'd like to learn it :)

My approach would be (seeing as it is not a complete square):

x2 -4t -68 = 0

x = -(-4) +- sqrt( (-4)2 - 4 * (-68) ) / 2

x ~= ( 4 +- 16.9 ) / 2

x ~= 10.45 & -6.45

Ah wait, you talk about completing the square. Do you mean like this?

x2- 4t = 68

x2- 4t + 4 = 68 + 4

(x-2)2 = 72

x - 2 ~= +-8.5

x ~= 10.5 & -6.5

If so, I must say I prefer the first. catch-all plug and chug algorithms are neat :)

I need to learn latex.

k
 
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  • #32
kenewbie said:
If so, I must say I prefer the first. catch-all plug and chug algorithms are neat :)

I need to learn latex.

k
Of course. No thinking required!
 

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