Solving quadratic equations by taking the square root of both sides of the equation is explained. Some examples are provided to show the method step by step.
Category Archives: Calculus
Solving Quadratic Equations I: Factoring (Grouping)
Solving quadratic equations by factoring is explained with some examples. Two methods are introduced to factorize quadratic equations. Other methods of solving quadratic equations are also addressed.
Solving Equations II: Radical Equations
This article explains the process of solving equations with radicals. Solving radical equations is performed by isolating radicals and raising both sides to a power equal to the index of the radicals one by one. The method is explained and ten examples are solved to illustrate solving equations with radicals.
Solving Equations I: Linear Equations
This article explains the process of solving equations of linear form. Solving linear equations is performed by isolating the unknown variable. Two methods are introduced to fulfill isolation. The article also contains ten examples to illustrate solving equations.
Problem 2-11: Differentiating by Chain Rule
Differentiating (1+sqrt(x))^8 by the chain rule. Determining individual components of the chain rule.
Problem 2-10: Diffrentiating
Diffrentiating f(x)= (1-2x^2)/(1+x+x^2) and f(x)= (1-2x^2)(1+x+x^2)
Problem 2-9: Differentiating Polynomial and Rational Functions
Differentiating f(x)= 1+ 2x, f(x)= 1 – 2x + 2x^2, f(x)= 1- x^2 +1/x and f(x)= 1 – x +1/(1-x)
Problem 2-8: Integration
Problem 2-7: Evaluatin Definite Integrals
Evaluating definite integrals x^2, sin(x), 2x^3+x-1 and |x|
Problem 2-6: Odd and Even Functions
Determining odd and even functions for sin(x), cos(x), sin(x)cos(x), x*sin(x), x^2 and sin(x)+cos(x)