Quadratic equations and substitutions

Reference no: EM13119120

1. 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 the number on the right side and solve for x (f) 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

Example: Solve x2 + 3x - 10 = 0

x2 + 3x = 10

4x2 +12x = 40

4x2 + 12x + 9 = 40 + 9

4x2 + 12x + 9 = 49

2x + 3 = ±7

2x + 3 = 7 2x + 3 = 7

2x = 4 2x = -10

x = 2 x = -5

Try these:

(a) x2 - 2x - 13 =0

(b) 4x2 - 4x + 3 = 0

(d) 2x2 - 3x - 5 = 0

2. Mathematicians have been searching for a formula that yields prime numbers. One such formula was x2- x + 41. Select some numbers for x, substitute them in the formula, and see if prime numbers occur. Try to find a number for x that when substituted in the formula yields a composite number.

Reference no: EM13119120

Questions Cloud

Find probability of finding buyers with value greater : Suppose the age of buyers were collected and the data follows the bell curve (a normal distribution). The buyers had an average age of 47 years and a standard deviation of 5.

Description of mth 209 : What is factoring by grouping? When factoring a trinomial by grouping , why is it necessary to write the trinomial in four terms ?

What might this flat ph profile suggest about the amino acid : Some enzymes like papain have a very flat pH profile i.e. they have nearly the same activity over a very broad pH range. what might this flat pH profile suggest about the amino acids active site of the enzyme papain?

Multiple questions : Sources such as experiments, surveys, notes from your own field research, eyewitness accounts, and historical documents are all examples of what type of source material?

Quadratic equations and substitutions : 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 equat..

What are the marginal rates of substitution for each person : What are the marginal rates of substitution for each person and what is the formula for the contract curve and draw an Edgeworth box, labeling carefully, and indicate the contract curve.

Determine the probability that the spinner lands on : Assume that the spinner cannot land on a line. Determine the probability that the spinner lands on (a) red, (b) green, (c) yellow, (d) green. The spinner is divided into 8 halves. There are (a) red = 4, (b) green = 1, (c) yellow = 1, and (d) blue = ..

Is there evidence of difference in taste between two product : Overall, 230 people correctly guess which is the low calorie product. Is there evidence of a difference in taste between the two products?

Illustrate what is the decibel level at yards away : A shotgun blast of 140 decibels occurs with humidity of 70% and temperature of 50 degrees. Illustrate what is the decibel level at 100 yards away? At 200 yards

User Account

All Pages