QUADRATIC EQUATION

May 19th, 2015
Studypool Tutor
Price: $10 USD

Tutor description

Generally, an equation is said to be of quadratic form if it has the form ax2n + bxn + c = 0, where n is an integer or a fraction; such as x4 – 5x2 + 6 = 0 and y-3 + y-3/2 + 6 = 0

Word Count: 37230
Showing Page: 1/78
Laws of Exponents:1.2.3.4. 5.Laws of Radicals:1.2.3.4.Laws of Logarithms:1.2.3.Important Properties:1: provided 2: 3:4:or5: implies that m = n6: implies that 7: implies that M = N 8: 9: provided 10: provided QUADRATIC EQUATIONGenerally, an equation is said to be of quadratic form if it has the form ax2n + bxn + c = 0, where n is an integer or a fraction; such as x4 5x2 + 6 = 0 and y-3 + y-3/2 + 6 = 0 Quadratic Formula: The expression b2 4ac is called the discriminant1. When b2 4ac > 0, the roots are real and unequal.2. When b2 4ac = 0, the roots are real and equal (or quadratic equation is a perfect trinomial)3. When b2 4ac < 0, the roots are imaginary and unequal (complex conjugates)The roots: Sum of the roots,x1 + x2 = - b/aProduct of the roots, x1 x2 = c/aTHE BINOMIAL THEOREMBINOMIALEXPANSIONPASCALS TRIANGLE(x + y)0 = 1 (x -y)111 2 1(x + y)1 =x + y1 1(x + y)3 =x2 + 2xy + y2(x + y)2 =x3 + 3x2y + 3xy2 + y31 3 3 1(x + y)4 =x4 + 4x3y + 6x2y2 +4xy3 + y41 4 6 4 1(x + y)5 =x5 + 5x4y + 10x3y2 +10x2y3 + 5xy4 + y51 5 10 10 5 1(x + y)6 =x6 + 6x5y + 15x4y2 +20x3y3 + 15x2y4 + 6xy5 + y61 6 15 20 15 1This array of numbers is called the Pascals Triangle. Any lower row is formed by adding any two adjacent numbers of the upp

Review from student

Studypool Student
" Very Satisfied. "
Ask your homework questions. Receive quality answers!

Type your question here (or upload an image)

1829 tutors are online

Brown University





1271 Tutors

California Institute of Technology




2131 Tutors

Carnegie Mellon University




982 Tutors

Columbia University





1256 Tutors

Dartmouth University





2113 Tutors

Emory University





2279 Tutors

Harvard University





599 Tutors

Massachusetts Institute of Technology



2319 Tutors

New York University





1645 Tutors

Notre Dam University





1911 Tutors

Oklahoma University





2122 Tutors

Pennsylvania State University





932 Tutors

Princeton University





1211 Tutors

Stanford University





983 Tutors

University of California





1282 Tutors

Oxford University





123 Tutors

Yale University





2325 Tutors