Formula
>A number of two digits p and q in that order is 7 greater than the number formed by reversing the digits. The ten's digit is p and the unit's digit is q. Then the number is 10p + q. The number formed by reversing the digits = 10q + p (10p + q) - (1..
>A number of two digits p and q in that order is 7 greater than the number formed by reversing the digits. The ten's digit is p and the unit's digit is q. Then the number is 10p + q. The number formed by reversing the digits = 10q + p (10p + q) - (1..Surd
(ii) If 2 x + 2 = 128, find the value of x. (iii) Simplify: (iv) Simplify: (v) Show that (x p - q ) p + q (x q - r ) q + r (x r - s ) r + s = 1 (vi) 49 7 x = (343) 2 x - 5 find 'x'. (i) Given expression..
(ii) If 2 x + 2 = 128, find the value of x. (iii) Simplify: (iv) Simplify: (v) Show that (x p - q ) p + q (x q - r ) q + r (x r - s ) r + s = 1 (vi) 49 7 x = (343) 2 x - 5 find 'x'. (i) Given expression..Factorization
Factorization - If a polynomial can be written as the product of two or more expressions, then each expression is called the factor of the given polynomial.If a polynomial can be written as the product of two or more expressions, then each expr..
Linear inequations
An inequation is said to be linear if each term of the algebraic expression (or expressions) of the inequation contains first degree variables (not the product of variables..
Linear Inequations
An inequation is said to be linear if each term of the algebraic expression (or expressions) of the inequation contains first degree variables (not the product of variables).An inequation is said to be linear if each term of the algebraic expre..
An inequation is said to be linear if each term of the algebraic expression (or expressions) of the inequation contains first degree variables (not the product of variables).An inequation is said to be linear if each term of the algebraic expre..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 ..
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 ..Factorising Trinomials
When the coefficient of the highest power is 1. i.e., ax 2 bx c, when a = 1 and b and c are integers. When two binomials are multiplied the product is a trinomial. Thus (x + 4) (x + 5) = x 2 + 9x + 20 (1) (x - 4) (x - 5) = x 2 - 9x + 20 (2) In this chapter we try to exp..
When the coefficient of the highest power is 1. i.e., ax 2 bx c, when a = 1 and b and c are integers. When two binomials are multiplied the product is a trinomial. Thus (x + 4) (x + 5) = x 2 + 9x + 20 (1) (x - 4) (x - 5) = x 2 - 9x + 20 (2) In this chapter we try to exp..Formulae
(5y) + (5y) 2 = x 2 - 10xy + 25y 2 Find algebraically the value of 205 2 . 205 2 = (200 + 5) 2 = (200) 2 + 2 (200) (5) + (5) 2 = 40000 + 2000 + 25 = 42025 If the expression 36x 2 + Kx + 25 is a perfect square, find K. Middle term of the given expression..
(5y) + (5y) 2 = x 2 - 10xy + 25y 2 Find algebraically the value of 205 2 . 205 2 = (200 + 5) 2 = (200) 2 + 2 (200) (5) + (5) 2 = 40000 + 2000 + 25 = 42025 If the expression 36x 2 + Kx + 25 is a perfect square, find K. Middle term of the given expression..Step iv:
Express p 1 ,p 2 ,p 3 ...., Q in terms of p, q, ..
Summary
q is false only when p is true and q is false. In other cases, it is true. If p q, then the contrapositive of this proposition is -q -p. The biconditional p q is true only when both p and q are true or both p and q are false. A co..
q is false only when p is true and q is false. In other cases, it is true. If p q, then the contrapositive of this proposition is -q -p. The biconditional p q is true only when both p and q are true or both p and q are false. A co.. Result
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