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Project # 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 X square 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 to the negative square root of the number on the right side of the equation and solve for X.

Project # 2

Mathematics have been searching for a formula that yields prime numbers. One such formula was X square - 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. Please select at least 5 numbers.

#### Solution Preview

The answers are in the attached file.

For Project #1, complete all 6 steps (a-f) as shown in the example. For Project #2, please select at least 5 numbers; 0 (zero), 2 even and 2 odd. Make sure you organize your paper into separate projects.

Project # 1

An interesting method for solving quadratic equations came from India. The steps are

Let the equation be -2x ^2 + 7x +15=0
(^2 means raised to the power of)

(a) Move the constant term to the right side of the equation.

-2x ^2 + 7x = -15

(b) Multiply each term in the equation by ...