Learning Algebra Questions

Introduction to learning algebra questions:

For learning algebra questions, it is necessary to solve or workout the algebra questions by own. This way of learning makes the students to be good in their subject.  Algebra deals with solving unknown values called variables with the help of known variables. In algebra, we continually use letters to represent numbers. Algebra questions include real numbers, complex numbers, matrices, vectors etc. An algebraic expression contains constants, operating symbols, such as plus and minus signs and constants. The learning method can be explained in the following examples.


Learning algebra Questions examples:


Q 1:  Evaluate the following quadratic equation.   x ^2 - 3x = 0

Sol :    Given
x ^2 - 3x = 0

Take X factor as common
x (x - 3) = 0

So the product x (x - 3) to be equal to zero, then we get

x = 0 or x - 3 = 0

Solve the above simple equations to obtain the solutions.
x = 0
or
x = 3

X= 0 or 3

Q 2:   Evaluate the quadratic equation   x ^2 - 5 x + 6 = 0

Sol :   To factor the expression, we write the equation x ^2 - 5 x + 6 in the form factored:

x ^2 - 5 x + 6 = (x + a)(x + b)

So that the sum of a and b is -5 and their product is 6. The numbers that satisfy these conditions are - 2 and - 3. Hence
x ^2 - 5 x + 6 = (x - 2)(x - 3)

Substitute into the original equation and solve.
(x - 2)(x - 3) = 0

(x - 2)(x - 3) is equal to zero if
x - 2 = 0
or
x - 3 = 0

Solve the above equations to get the solution

x = 2
or
x = 3

x= 2 or 3


Practice for learning algebra questions:


Q 1:   Evaluate the quadratic equation   x ^2 - 6 x + 9 = 0

Ans : x = ±3

Q  2:  Evaluate the following quadratic equation.   x ^2 - 6x = 0

Ans :   x= 0 or 6