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Step I:
Factor of f(x) and g(x..
Step III:
Substitute x = a and obtain the limit..
Step 2:
In case of inequation < or >, draw the line dotted otherwise draw the line thick. This line divides the plane into two equal part..
Step 1:
Divide by 'a' throughou..
Step 2:
4a 2 x 2 + 4abx = -4ac [Transposing 4ac to R..
Step 5:
(2ax + b) 2 = b 2 - 4ac [a 2 + 2ab + b 2 = (a+b) 2..
Summary
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..
Second Method:
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..
Worked Examples on Simultaneous Equations
6 = 12 or x - 18 = 12 x = 12 + 18 = 30 The present age of the man is 30 years and the present age of his son is 6 years. The sum of the digits of a two digit number is 7. If the digits are reversed, the new number increased by 3 equals four times the original number. Find the original number. Let t..
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