Chapter 4 · Quadratic Equations

NCERT Exemplar Class 10 Maths Exercise 4.3

All 2 questions of NCERT Exemplar Class 10 Maths Exercise 4.3 (Quadratic Equations), in the book's order, each with its answer and a step-by-step solution.

1. Q1
   Find the ​roots of the quadratic ​equations by using the ​quadratic formula ​in each of the ​following:

   1. (i)$2x^2-3x-5=0$
   2. (ii)$5x^2+13x+8=0$
   3. (iii)$-3x^2+5x+12=0$
   4. (iv)$-x^2+7x-10=0$ ​
   5. (v)$x^2+2\sqrt{2}x-6=0$
   6. (vi)$x^2-3\sqrt{5}x+10=0$ ​
   7. (vii)$(1/2)x^2-\sqrt{11}x+1=0$.
   Show answer

   (i) $x=5/2,-1$; (ii) $x=-1,-8/5$; (iii) $x=3,-4/3$; (iv) $x=5,2$; (v) $x=\sqrt{2},-3\sqrt{2}$; (vi) $x=2\sqrt{5},\sqrt{5}$; (vii) $x=\sqrt{11}+3,\sqrt{11}-3$.

   Step-by-step solution →
2. Q2
   Find the roots ​of ​the following quadratic ​equations by ​the ​factorisation ​method:

   1. (i)$2x^2+\frac{5}{3}x-2=0$
   2. (ii)$\frac{2}{5}{x}^2-x-\frac{3}{5}=0$
   3. (iii)$3\sqrt{2}{x}^2-5x-\sqrt{2}=0$ ​
   4. (iv)$3x^2+5\sqrt{5}x-10=0$
   5. (v)$21x^2-2x+\frac{1}{21}=0$
   Show answer

   (i) $x=\frac{2}{3},-\frac{3}{2}$; (ii) $x=3,-\frac{1}{2}$; (iii) $x=\sqrt{2},-\frac{\sqrt{2}}{6}$; (iv) $x=\frac{\sqrt{5}}{3},-2\sqrt{5}$; (v) $x=\frac{1}{21}$ (repeated).

   Step-by-step solution →