Quadratic equation Class 10th Que. 1. Find the roots of the following quadratic equations by factorization method: 1. x2 – 3x – 10 = 0 x2 – 5x + 2x – 10 = 0 x (x – 5) + 2(x – 5) = 0 (x – 5) (x + 2) = 0 X – 5…
Quadratic Equations Quadratic Equations - Equations in which the variable is raised to the highest power of two are called quadratic equations. ax2 + bx + c = 0 Sridharacharya Sutra / Quadratic Formula – Nature of Roots - 1. Roots are real and different 2. Roots are real and equal 3. Roots are imaginary…
Pair of linear equations in two variables Class 10th Que. 1. Solve the following pair of equations by elimination method and substitution method. SOLUTION 1. x + y = 5 – (1) 2x – 3y = 4 – (2) Multiplying equation 1 by 2, 2 (x + y) = 5 2x + 2y =…
Pair of linear equations in two variables Solutions 1. Solve the following pair of linear equations by the substitution method: 1. x + y = 14 – (1) x - y = 4 – (2) From equation 1, X + y = 14 Y = 14 – x – (3) From equations 2 and 3,…
Pair of linear equations in two variables Standard Equations of Linear Equations - a1x + b1y + c1 = 0 a2x + b2y + c2 = 0 Linear equations a1x + b1y + c1 = 0 and a2x + b2y + c2 = 0 represents a pair of linear equations that can lead to the…
Polynomial Class 10th Degree of a polynomial – The highest power of the variable x in a polynomial is called the degree of the polynomial. Example – 5x4 + 3x2 + 2x + 3 Linear polynomial – A polynomial in which the maximum power of the variable is 1 is called a linear polynomial. Example…
Real Numbers Solution A real number is any number that can be represented on the number line. Real numbers include all the digits which indicate Natural Numbers, Whole Numbers, Integers, Rational Numbers, Irrational Numbers, etc. Exercise - 1.2 End Numbers Solutions
Natural Numbers – Numbers that start from 1 and continue to infinity are called natural numbers. 1, 2, 3, 4 _ _ _ _ Whole Numbers – Numbers that start from 0 and continue to infinity are called whole numbers. This set also includes natural numbers. 0, 1, 2, 3, 4 _ _ _ _…
