step by step solving algebraic equations

Draw the graph of equation x = 1 which is a lin..

Common factors of numerator and denominator are..

In case of inequation < or >, draw the line dotted otherwise draw the line thick. This line divides the plane into two equal part..

Divide by 'a' throughou..

4a 2 x 2 + 4abx = -4ac [Transposing 4ac to R..

(2ax + b) 2 = b 2 - 4ac [a 2 + 2ab + b 2 = (a+b) 2..

If all the terms of the polynomial have a common factor, we take out the common factor and factorise . If all the terms of the polynomial have a common factor, we take out the common factor and factorise . If the polynomial can be expressed as the difference of two squares, we use a 2 - b 2..

Problems on Simultaneous Equations - If one number is thrice the other and their sum is 60, find the numbers. Let the numbers be x and y. x is 3 times y x = 3y (1) Sum of x and y is 60 x + y = 60 (2) Putting the value of x from (1) in (2), we get, 3y + y = 60 4y = 60 y = 15 Substituting y..

Find the factors of 24 with their sum = +14. The factors are 12 and 2. +14x will be written as +12x + 2x. 3x 2 + 14x + 8 = 3x 2 + 12x + 2x + 8 = 3x (x + 4) + 2 (x + 4) = (3x + 2) (x + 4) All the steps have occurred in the reverse order to the multiplication given above. Resolve into facto..