A Simple Way To Solve Quadratic Equation

Solving Quadratic Equations

REMEMBER, that in a quadratic equation:

1. We are trying to find out the solution to x which makes the left hand sideof the = sign equal theright hand side of the = sign
2. There will always be two solutions. This is because the x is to the power of 2
3. It is always necessary to check the solutions to make sure that you really do have the correct answers and have not made any mistakes along the way
4. A negative number multiplied by a positive number will always be a negativenumber whereas a positive number multiplied by a positive number will be apositive number
5. In some questions they substitute the letter x for another letter although in essence you use the same method for finding the value of that letter

Derbyshire: June Diary - National Review Online Blogs

Derbyshire: June Diary National Review Online Blogs, NY - Jul 1, 2008 The only way to learn math is to grind your way through endless drills. You want to understand quadratic equations? Solve a couple hundred of them, ...

This day was mostly spend getting to know the new Mac. We also had to do some...

This day was mostly spend getting to know the new Mac. We also had to do some rain inspection in the attic. Alex did that; I am no longer up to crawling around up there, or at least I can plausibly claim that I don't have to do that any more... Re: a380 Hi Jerry, Re a left handed joystick in the A380, I've never flown one except in FSX, but I am a private pilot. Everyone is taught to fly in the left seat as pilot in command, and is taught to handle the flight controls with the left hand an

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CMP2 Notes 1/25/2008 By Arthur Hu Grade Rubric A - excellent book, great explanations and samples B - complete content, good explanation C - complete but not great D - incomplete but has some content F - no standard methods taught Contents: == 6th graders play with blocks in the name of Geometry == == A unit on circle area without PI R SQUARED. == == DECIMAL MATH IN BITS AND PIECES == == Algebra in 7th grade? == == Average == The first edition spends an entire booklet leading up from med

Pythagorean triples

My friend and colleague Hovik explained to me the right way of solving the classical Pythagorean Triples Equation x2 + y2 = z2 in integers. Of course, after change of variables u = x/z, v = y/z we have to solve a slightly simpler equation u2 + v2 = 1 in rational numbers u and v. Then we observe that the line through point (0,1) and point (u,v) has rational coefficients and intersects the x-axis in a point (t,0) with rational coordinate t. Moreover, this projection establishes a one-to-one c

Response for 2/10/08

Main Points: This section of the reading focused on roundoff error analysis when doing basic math operations with a computer. This mostly consisted of examples where it is important to pay extra attention to roundoff error, including subtracting numbers that are close to one another or when solving for higher degree polynomials (in this case nesting is the best way to solve the problem). We are also presented with definition 1.16, which gives us an inequality for determining to how many signific

Of NYS Performance Indicators, Math Software, and Editorial Crunch

I recently had to check a half-dozen or so problems like the following: Given the quadratic equation 5w^2 + kw + 4 = 0, if one of the roots of the equation is -3, what is the other root? what is the value of k? The solution involves solving a system of two equations in two unknowns -- which is tedious (not good since I was under a deadline). An alternative approach is to derive a formula by solving the general case -- however, using a formula is error-prone. The net result is that both approache

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Also available as http://math.ucr.edu/home/baez/week261.html March 19, 2008 This Week's Finds in Mathematical Physics (Week 261) John Baez Sorry for the long pause! I've been busy writing. For example: a gentle introduction to category theory, focusing on its role as a "Rosetta Stone" that helps us translate between four languages: 1) John Baez and Mike Stay, Physics, topology, logic and computation: a Rosetta Stone, to appear in New Structures in Physics, ed. Bob Coecke. Availabl

Looking at Clouds (Embedded Systems Programming Magazine)

It turns out that Brent was wrong when he combined bisection with parabolic interpolation. There's a better way to converge on a minimum.

Software Development Meme

Shawn Wildermuth passed the torch to me (among others) in a new version of an old blog-theme. Oh well, these are always fun . It's more or less an interview-like way of pulling trivia out of people, so here we go! How old were you when you first started programming? I was 16, my younger brother and I bought a Toshiba MSX-1 (Z80 power!) back in 1986 after working for a couple of years as newspaperboys. From day one I started writing code, as that was the main reason for me to get the comput