This question is similar to Chapter 4 Class 10 Quadratic Equations - Ex 4.3

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https://www.teachoo.com/13144/509/Ex-4.4--1-ii/category/Ex-4.4/

 

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Question 24 Find the nature of roots of the quadratic equation 𝑥^2 + 4𝒙 −3√2=0. x2 + 4x – 3√2 = 0 Comparing equation with ax2 + bx + c = 0 a = 1, b = 4, c = –3√𝟐 We know that D = b2 – 4ac D = 𝟒^𝟐−𝟒 × 𝟏 × (−𝟑√𝟐) D = 16+4 × 3√2 D = 𝟏𝟔+𝟏𝟐√𝟐 Concept: D < 0 , no real roots D = O , two equal real roots D > 0, two distinct real roots Since both numbers are adding, it will always be positive (i.e. D > 0) Since D > 0 The given equation has two distinct real roots

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 15 years. He provides courses for Maths, Science and Computer Science at Teachoo