Solving the quadratic equations using the FOIL method makes the equations easier for me to understand. The Foil method, multiplying the First, Outer, Inner and Last numbers, breaks down the equation a little further so you understand where some of your numbers are coming from, plus it helps me to check my work. Equation (a.) x^2 – 2x – 13 = 0

X^2 – 2x = 13 (step a)
4x^2 – 8x = 52 (step b, multiply by 4)
4x^2 – 8x + 4 = 52 + 4 (step c, add to both sides the square of original coefficient)
4x^2 – 8x + 4 = 56
2x + 2 = 7.5 (d, square root of both sides)
2x + 2 = 7.5 (e) 2x + 2 = -7.5 (f)
2x = 5.52x = -9.5
X = 2.75x = -4.75
(2x +2) (2x +2)
2x X 2x = 4x^2(foil method)
2x X 2 = 4x
2 x 2x = 4x
2 x 2 = 4
Simplify it 4x^2 – 8x + 4

I really got the hang of these equations by equation d and started enjoying figuring them out. I think the India method is an interesting method to solve equations and for me, I could understand it easier then some of the other methods we have been using. Using the formula X^2 –X + 41 to try if we can get a prime number was fun and interesting. I chose to use the numbers 0, 5,8,10, and 13, that is two even numbers and two...

...+ 6x2 + 6x - 27
Factor the trinomial, or state that the trinomial is prime. 6) 20x2 + 23x + 6 A) (20x + 3)(x + 2) B) (4x - 3)(5x - 2) C) (4x + 3)(5x + 2) D) Prime
Factor completely, or state that the polynomial is prime. 7) 28x2 y - 28y - 28x2 + 28 A) (2y - 7)(7x - 2)(7x + 2) C) (7y - 7)(2x - 2)(2x + 2) Solve the system by the addition method. 8) 3x + 7y = 40 3x + 2y = 50 A) {(-2, 18)} Solve and check the linear equation. 9) 2x - 4...

...QuadraticEquation:
Quadraticequations have many applications in the arts and sciences, business, economics, medicine and engineering. QuadraticEquation is a second-order polynomial equation in a single variable x.
A general quadraticequation is:
ax2 + bx + c = 0,
Where,
x is an unknown variable
a, b, and c are constants (Not equal to zero)
Special...

...Quadraticequation
In elementary algebra, a quadraticequation (from the Latin quadratus for "square") is any equation having the form
where x represents an unknown, and a, b, and c represent known numbers such that a is not equal to 0. If a = 0, then the equation is linear, not quadratic. The numbers a, b, and c are...

...329
QuadraticEquations
Chapter-15
QuadraticEquations
Important Definitions and Related Concepts
1. QuadraticEquation
If p(x) is a quadratic polynomial, then p(x) = 0 is called
a quadraticequation. The general formula of a quadraticequation is ax 2 + bx + c = 0; where a, b, c are real
numbers and a 0. For example, x2 –...

...QUADRATICEQUATIONSQuadraticequations Any equation of the form ax2 + bx + c=0, where a,b,c are real numbers, a 0 is a quadraticequation.
For example, 2x2 -3x+1=0 is quadraticequation in variable x.
SOLVING A QUADRATICEQUATION
1.Factorisation
A real number a is said to be a root of the...

...This article is about quadraticequations and solutions. For more general information about quadratic functions, see Quadratic function. For more information about quadratic polynomials, see Quadratic polynomial.
A quartic equation is a fourth-order polynomial equation of the form.
A linear equation is an algebraic equation in which each term is...

...-------------------------------------------------
Primenumber
A primenumber (or a prime) is a natural number greater than 1 that has no positive divisors other than 1 and itself. A natural number greater than 1 that is not a primenumber is called a composite number. For example 5 is prime, as only 1 and 5 divide it, whereas 6 is...

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