Solving Simple Simulataneous Equations

Solving Quadratic Equations

Looking at an example:

You are given the question

x²+5x+4=0

In the above example,

a=1 (If there is no number before the x then we can assume that thenumber is 1)

b=5

c=4

What we then have to do is find out what x could be equal to in order to satisfy the equation and therefore make it true. In this example, x can either equal -4 or -1 . We don't know yet how we came to this answer, but let's show that both of these answers do work.

Putting -4 into the above equation:

x²+5x+4=0

(-4)² + (5*-4) + 4 = 0

(-4)*(-4)  + (5*-4) + 4 = 0

16 + (-20) + 4 = 0

16-20+4=0

-4+4=0

0=0

This shows that -4 can be a solution for x

Putting -1 into the above equation:

x²+5x+4=0

(-1)² + (5*-1) + 4 = 0

(-1)*(-1)  + (5*-1) + 4 = 0

1 + (-5) + 4 = 0

1-5+4=0

-4+4=0

0=0

This shows that -1 can also be a solution for x

Therefore, there are two possible solutions, -1 and -4. They must both begiven as an answer to obtain full marks.

Once you have obtained the possible solutions for x, is is always necessary to checkthem in the above way

Rescuing VoIP quality in high speed broadband CPEs - ECN Asia

Rescuing VoIP quality in high speed broadband CPEs ECN Asia, Singapore - Jun 30, 2008 But when data traffic is increased, especially when real-time services such as video streaming, Internet radio, or Online gaming are added to the equation, ...

Lalwani takes award, but gives away prize - guardian.co.uk

Lalwani takes award, but gives away prize guardian.co.uk, UK - Jun 27, 2008 Gifted tells the story of Rumi Vasi, a child maths prodigy, and her slow escape from the clutches of an overbearing father, as the simultaneous equations ...

Virtual classrooms go to campuses - Daily News & Analysis

Virtual classrooms go to campuses Daily News & Analysis, India - Jun 23, 2008 Around 40 class VIII students of a private school in Mysore, Karnataka, are busy studying simple and simultaneous equations. Some are copying the sums down ...