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/

 

Find the nature of roots of the quadratic equation 𝑥^2 + 4𝒙 −3√2=0 - CBSE Class 10 Sample Paper for 2026 Boards - Maths Basic

part 2 - Question 24 - CBSE Class 10 Sample Paper for 2026 Boards - Maths Basic - Solutions of Sample Papers for Class 10 Boards - Class 10

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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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