the sum of two rational numbers is 9. if one of the numbers is 136 then find the other one.


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Degree and Types of Polynomials
In case of a polynomial of one variable the highest power of the variable is called the degree of the polynomial. 3y-7y 3 has degree 3 and..
Question 1
Question: Show that the sum of the cubes of any number of consecutive integers is divisible by the sum of those integers. Answer: Let the consecutive integers be (n + 1), (n + 2), (n + 3),....,(n + m) Sum of the cubes of intege..
Irrational numbers 2 Animation
Learn through Animation Rational and Irrational Numbers..
To represent an irrational number on the number line
. Then, the point P represents on the number line. Using Pythagoras' theorem in rt. OB = , if AO = 2 and AB = 1 Cut off OP = OB = Then the point P represents on the number line. In the same w..
Introduction
The sets of numbers which every student must remember are: The set of natural numbers N = {1, 2, 3, 4, 5, } The set of whole numbers W = {0, 1, 2, 3, 4, 5,} The set of integers Z = I = {, -3, -2, -1, 0, 1..
Factorisation of Polynomials
You know that any polynomial of the form p(a) can also be written as If the remainder is zero, then p(a) = g(a) x h(a). That is, the polynomial p(a) is a product of two other polynomials g(a) and h(a). For example, 3a + 6a 2 = 3a x (1 + 2a). It may be possibl..
Some Observations
For n N, in the expansion of (a + b) n , we observe that: the number of terms is n+1 the exponent of 'a' decreases from n to 0 the exponent of 'b' increases from 0 to n the sum of exponents of 'a' and 'b' in any term is n. the coefficient of any term i..
Approximation
Approximation - We know that the digits of a number, one by one in order from left to right decrease in value rapidly. Let us illustrate it by examples. Mass of a gold ornament is 23.473 g. Round off to (i) two decimal places, (ii) one decimal place..
Types of fractions
A Proper fraction has its numerator less than its denominator. An Improper fraction has its numerator greater than its denominator. A Mixed fraction consists of two parts, one is an integer and the other a proper fraction. Vulgar fraction is a fraction in which the..
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