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Exercise 4.2 class 10 Or Factorise Quadratic Equations by splitting their middle terms Q2. Solve the problems. i. x^2 - 45 x + 324=0 [0:13] ii. x^2 - 55 x + 750=0 [2:51] Steps to follow: (Splitting the Middle Term) i. Multiply coefficient of x^(2 )and constant ii. Find out the factors of product iii. Derive coefficient of x from the factors of product Remember: i. Any equation of the form p(x) = 0, where p(x) is a polynomial of degree 2, is a quadratic equation ii. ax^2 + bx + c = 0, a ≠ 0 is called the standard form Interesting Facts: i. Babylonians were the first to solve quadratic equations. ii. Greek mathematician Euclid developed a geometrical approach for finding out lengths which, in our present-day terminology, are solutions of quadratic equations iii. Solving of quadratic equations, in general form, is often credited to ancient Indian mathematicians Revise: Ex 4.2 Q1 [All parts solved] • Ex 4.2 class 10 | Splitting the middle ter... Prove 1/√2 is irrational • Prove that 1 by root 2 is irrational [ Ex ... Chapter 1 Real Numbers • Real Numbers - Class 10th #class10maths #quadratic_equations