Solving Quadratic Word Problems By Quadratic Equation

Solving Quadratic Equations

Let's have a look at how we solve a quadratic equation:

x²-3x+2=0

The easiest way to solve them is to follow certain steps:

Step 1

Find two numbers where when they are multiplied together equal the firstnumber (a=1) multiplied by the third number (c=2). These two numbers when addedto each other must also equal the second number (b=-3).

In the above example, the solution is -2 and -1.
We can see that when added together the result is -3 and that when multiplied together, the result is 2

Step 2

Rewrite the original equation splitting the middle part into two using thenumbers which you found in step 1.

x²-x-2x+2=0

Step 3

Start to factorise both halves of the equation:

x(x-1)-2(x-1)=0

At this point you will know if you are going along the correct track if thefirst bracket is the same as the second bracket.

Step 4

Collect everything before each bracket and put it into one bracket andmultiply this bracket by that which is inside the identical brackets:

(x-1)(x-2)=0

Step 5

In order for the left side of the equation to be equal to 0, one of the twobrackets must equal 0. So either:

a.
x-1=0
x=1

b
x-2=0
x=2

Step 6

Check these answers:

1²-(3*1)+2=0
1-3+2=0
0=0

2²-(3*2)+2=0
4-6+2=0
0=0

Therefore the possible solutions for the above equation are confirmed to be 1 and 2

New Website Offers Problem Solving Strategy!

According to the National Institute of Mental Health, there are tens of millions of Americans who need help with their problems.

No Ordinary Laptop Case, This Unique Case With A Built-In Hood Solves Common Problems For Laptop Users.

New York, NY August 13, 2003 -- Marc My Word (U.S.) Inc., a New York City-based manufacturer, has introduced a laptop case named“The Gatch”™ that includes a built-in privacy and...

The 'Biggest' Concern of Business Today - Solving the Problem of Obesity in the Workplace

New York, NY August 13, 2003 -- Marc My Word (U.S.) Inc., a New York City-based manufacturer, has introduced a laptop case named“The Gatch”™ that includes a built-in privacy and...

Yves Bodson, Photographer, presents "Quadratics: Art, Aesthetics and Mathematics" at Trifecta Gallery in Las Vegas, April 8-15, 2005.

New York, NY August 13, 2003 -- Marc My Word (U.S.) Inc., a New York City-based manufacturer, has introduced a laptop case named“The Gatch”™ that includes a built-in privacy and...

Five Ideas for Helping Your Employees Solve Their Own Problems

(PRWEB) October 26, 2005 -- Employees often bring their problems to their managers, instead of solving those problems themselves. Why? Maybe the manager has a good track record of solving problems....

Voice-Icons: New Elevator Pitch Line for Entrepreneurs and StartUps

Long Island, NY (PRWEB) November 11, 2005 -- Invores Systems, Inc. announces a new twist on the old start up company standby– the elevator pitch. A required mantra for a start up seeking the...

Trident Software Introduces Rapid-Pi, a Program That Makes Editing Mathematical Equations Faster

Long Island, NY (PRWEB) November 11, 2005 -- Invores Systems, Inc. announces a new twist on the old start up company standby– the elevator pitch. A required mantra for a start up seeking the...

How to Afford A Larger Living Area

Long Island, NY (PRWEB) November 11, 2005 -- Invores Systems, Inc. announces a new twist on the old start up company standby– the elevator pitch. A required mantra for a start up seeking the...

Author Describes Benefits of Computer Brainstorming Software

(PRWEB) September 8, 2006 -- Robert Pearson, the founder of ParaMind Brainstorming Software, is releasing a new book based on the idea behind his software. This program belongs to a not well known...

Thinking Blocks Teaches Children to Model Their Math Problems

(PRWEB) September 8, 2006 -- Robert Pearson, the founder of ParaMind Brainstorming Software, is releasing a new book based on the idea behind his software. This program belongs to a not well known...