Assignment:
Q1) Quadratic Equation is in STANDARD FORM (ax^2 + bx + c = 0 where a is positive)
Factor trinomial: x^2 + bx +c =(X + m)( X +n)=0 ,which :(mn=C),and (m+n=b)
(X + m)=0 ---->X = - m , and (X + n)=0----> X= - n
Q2) Pythagorean Theorem in Right triangle ( a^2 + b^2 = C^2),or( Leg^2 + Leg^2=Hypothenuse^2)
A. Solving Quadratic Equations With Factoring
Q1. Let's explore how consecutive integer problems work. We need to find two consecutive page numbers in a book such that the sum of the page numbers is 11 less than their product. How might we go about setting this problem up initially?
Q2. Your task is to anchor a ladder to the ground three feet from the wall of a house, and extend it up to a window that is 18 feet above the ground. Will a 20-foot ladder do the job? Begin by explaining which theorem you would use to set up the equation for this problem.
Provide complete and step by step solution for the question and show calculations and use formulas.