algebraic equations and inequalities questions step by step

Choose a point that does not satisfy the inequation and shade the remaining parts leaving the line. If the point satisfies the given inequation, shade the part including the point and the line. The process of shading is clear from the graphs depicted abo..

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

Common factors of numerator and denominator are..

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..