## RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.5

These Solutions are part of RD Sharma Class 10 Solutions. Here we have given RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.5

**Other Exercises**

- RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.1
- RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.2
- RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3
- RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.4
- RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.5
- RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.6
- RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.7
- RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.8
- RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.9
- RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.10
- RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.11
- RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.12
- RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.13
- RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations VSAQS
- RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations MCQS

**Question 1.**

Write the discriminant of the following quadratic equations :

(i) 2x² – 5x + 3 = 0

(ii) x² + 2x + 4 = 0

(iii) (x – 1) (2x – 1) = 0

(iv) x² – 2x + k = 0, k ∈ R

(v) √3 x² + 2√2 x – 2√3 = 0

(vi) x² – x + 1 = 0

**Solution:**

**Question 2.**

In the following, determine whether the given quadratic equations have real roots and if so, And the roots :

(i) 16x² = 24x + 1

(ii) x² + x + 2 = 0

(iii) √3 x² + 10x – 8√3 = 0

(iv) 3x² – 2x + 2 = 0

(v) 2x² – 2√6 x + 3 = 0

(vi) 3a²x² + 8abx + 4b² = 0, a ≠ 0

(vii) 3x² + 2√5 x – 5 = 0

(viii) x² – 2x + 1 = 0

(ix) 2x² + 5√3 x + 6 = 0

(x) √2 x² + 7x + 5√2= 0 **[NCERT]**

(xi) 2x² – 2√2 x + 1 = 0 **[NCERT]**

(xii) 3x² – 5x + 2 = 0 **[NCERT]**

**Solution:**

**Question 3.**

Solve for x :

**Solution:**

Hope given RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.5 are helpful to complete your math homework.

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