May 29th, 2015
Studypool Tutor
Price: \$10 USD

Tutor description

Any equation of type ax2 + bx + c = 0 where a, b, and c are constants and a <> 0, is in standard form for aquadratic equation. Quadratic equations of type ax2 + bx + c = 0 and ax2 + bx = 0 (c is 0) can be factored to solve for x. Examples:

Word Count: 1297
Showing Page: 1/9
GUADRATIC EQUATIONAny equation of typeax2+ bx + c = 0wherea,b, andcare constants anda <> 0, is in standard form for aquadratic equation.Quadratic equations of typeax2+ bx + c = 0andax2+ bx = 0(cis0) can be factored to solve forx. Examples:1. Problem: Solve 3x2 + x - 2 = 0 for x. Solution: Factor. (3x - 2)(x + 1) = 0 Use the principle of zero products, which says, if ab = 0, either a, b, or both must be equal to zero. 3x - 2 = 0, x + 1 = 0 3x = 2 , x = -1 x = (2/3) x = -1, (2/3)2. Problem: Solve 3x2 + 5x = 0 for x. Solution: Factor. x(3x + 5) = 0 Use the principle of zero products. x = 0, 3x + 5 = 0 3x = -5 x = -(5/3) x = 0, -(5/3)Quadratic equations of typeax2+ c = 0can be solved by solving forx. Example:3. Problem: Solve 3x2 = 6 for x.Solution: Recognize that the equation is quadratic because it is the same as 3x2 - 6 = 0. Divide each side by 3. x2 = 2 Take the square root of each side. x = SQRT(2), -(SQRT(2))Many times you will come across quadratic equations that are not easy to factor or solve. In those cases, there is a special formula called thequadratic formulathat you can use to solve any quadratic equation.The solutions of

## Review from student

Studypool Student
" Thanks, good work "

1826 tutors are online

### Other Documents

05/28/2015
05/28/2015
05/28/2015
05/28/2015

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