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

  • Thread starter Thread starter Paulo2014
  • Start date Start date
Click For Summary
SUMMARY

The discussion focuses on solving the quadratic equation for the weight of a giraffe, represented by W=(t^2)/4-t+68, to determine the time it takes to reach 85 kg. Participants clarify that the equation must be rearranged to t^2-4t-68=0 to apply the quadratic formula or complete the square method. The correct solution yields t ≈ 10.5 months, as negative time values are extraneous. The conversation emphasizes the importance of understanding quadratic equations and methods for solving them.

PREREQUISITES
  • Understanding of quadratic equations
  • Familiarity with the quadratic formula
  • Knowledge of completing the square method
  • Basic algebraic manipulation skills
NEXT STEPS
  • Study the quadratic formula in detail
  • Practice completing the square with various equations
  • Explore applications of quadratic equations in real-world scenarios
  • Learn LaTeX for better mathematical expression formatting
USEFUL FOR

Students studying algebra, educators teaching quadratic equations, and anyone interested in mathematical problem-solving techniques.

  • #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
 
Physics news on Phys.org
  • #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!
 

Similar threads

Replies
7
Views
2K
  • · Replies 10 ·
Replies
10
Views
6K
  • · Replies 15 ·
Replies
15
Views
4K
  • · Replies 18 ·
Replies
18
Views
3K
  • · Replies 7 ·
Replies
7
Views
6K
  • · Replies 9 ·
Replies
9
Views
3K
  • · Replies 6 ·
Replies
6
Views
4K
Replies
5
Views
7K
  • · Replies 2 ·
Replies
2
Views
1K
  • · Replies 2 ·
Replies
2
Views
3K