Completing the Square, Quad form

  • Thread starter Thread starter DiomondJim
  • Start date Start date
  • Tags Tags
    Form Square
AI Thread Summary
Completing the square is a method used to solve quadratic equations by transforming them into a perfect square trinomial. For basic polynomials, the formula involves rearranging the equation and adjusting constants to complete the square. Advanced polynomials with a leading coefficient require factoring out that coefficient before applying the method. The quadratic formula can be a quicker alternative, but it may seem tedious if not practiced. Seeking clarification on specific examples can enhance understanding and speed up problem-solving.
DiomondJim
Messages
1
Reaction score
0

Homework Statement



Hi, I'm not very smart but can someone walk me though the basic completing the square formula for basic polynomials and more advanced ones ( with a variable in front of )

is there a easier and faster way to use quad form because it takes me like 10 minutes per problem to plug it all in.

Homework Equations



some random examples X^2+13x+18=0 and 10X^2+ 5x+9 (no idea if these work out but i just made them up.

The Attempt at a Solution

 
Physics news on Phys.org
Can you follow this guide?

http://www.mathsisfun.com/algebra/completing-square.html

Your teacher should have also worked through a few examples in class. If you can't understand these examples, feel free to post them here and ask specific questions about the parts you don't understand.
 

Thread 'Struggling to understand the concept of this question (ice cube in water optics question)'

TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
View full post »
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
View full post »

Similar threads

Reduced chi square test in physics
Replies
7
Views
7K
Uniform Motion in 2D - A man chasing a bus
Replies
20
Views
1K
Completing the square using a matrix in quadratic form
Replies
5
Views
5K
B Metric Line Element Use: Do's & Don'ts for Accelerated Dummies?
Replies
29
Views
2K
Completing the Square: Why and When?
Replies
5
Views
2K
Calculate tilt angle of a bar lifted via two ropes on fixed points
Replies
7
Views
3K
Finding the potential difference given two unknown points.
Replies
1
Views
2K
Cambridge Interview Question (pet peeve + demo)
Replies
1
Views
1K
3x^2 - 5x - 1 = 0 (Solve using completing the square method)
Replies
3
Views
11K
How Do You Form a Degree 4 Polynomial with Given Complex Zeros?
Replies
7
Views
2K

Hot Threads

Recent Insights

Back
Top