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An interesting method for solving quadratic equations came from India. The steps are
(a) Move the constant term to the right side of the equation
(b) Multiply each term in the equation by four times the coefficient of the x2 term.
(c) Square the coefficient of the original x term and add it to both sides of the equation.
(d) Take the square root of both sides
(e) Set the left side of the equation equal to the positive square root of both sides.
(f) Set the left side of the equation equal to the positive square root of the number on the right side and solve for x.
(g) Set the left side of the equation equal to the negative square root of the number on the right side of the equation and solve for x. Explain the Examples below:
1) x2- 2x-3=0
2) 4x2 -4x-3=0
3) X2=12x-64=0
4) 2x2-3x-5=0
Multiplying the rational equation.
Basics of parabolas and plotting.
A small town that grows exponentially can become a large city in just a few decades. Does not make sense because exponential growth leads to repeated halvings, making the population decrease rapidly.
Computing the equations.
How does the knowledge of simplifying an expression help you, personally, to solve an equation efficiently? Give an example from your life in how knowing the reason why helped you with the process of solving a difficult situation or problem.
Compute the width & length of the cattle yard.
Quadratic expressions
Social networks, email and cyberchat have added to the lexicon of English through "coining," blends, clips and replacement. Does this show the development of a pidgin or simply fashionable slang?
Make a cycle decomposition
They'll need to follow a path to get to the picnic spot. A map of the path is based on a scale of 1:30,000, in cm. If the path is 12 cm on the map how many kilometers is the actual path?
Find the largest x-intercept for the polynomial function.
What is the inherent meaning and justification of cross-multiplication as it applies to solving an inequality? Give one example of how knowing this could be useful in everyday life.
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