Exercise 12.1
Page no 12.7
Type 1
Question 1
Solve the following equations by factorization method :
1. $2 x^{2}+3=0$
2. (i) $x^{2}+x+1=0$
(ii) $x^{2}+2 x+5=0$
3. $x^{2}-4 x+7=0$
4. $x^{2}-4 x+13=0$
5. $9 x^{2}-12 x+20=0$
Type 2
Question 2
Solve the following equations by using the general expression for roots of a quadratic equation :
6. $2 x^{2}-\sqrt{3} x+1=0$
7. $17 x^{2}-8 x+1=0$
8. $5 x^{2}-6 x+2=0$
9. $3 x^{2}-7 x+5=0$
10. $8 x^{2}-9 x+3=0$
11. $9 x^{2}+4=0$
12. $x^{2}-x+1=0$
13. $x^{2}-4 x+7=0$
14. $27 x^{2}+10 x+1=0$
15. $x^{2}+2 x+2=0$
16. $x^{2}+x+1=0$
17. $x^{2}+3 x+9=0$
18. $x^{2}+3=0$
19. $x^{2}+3 x+5=0$
20. $27 x^{2}-10 x+1=0$
21. $2 x^{2}+x+1=0$
22. $x^{2}-x+2=0$
23. $2 i x^{2}-28 x+10=0$
24. $x^{2}+x+2=0$
25. $-x^{2}+x-2=0$
26. $x^{2}-2 x+\frac{3}{2}=0$
27. $x^{2}+\frac{x}{\sqrt{2}}+1=0$
28. $3 x^{2}-4 x+\frac{20}{3}=0$
29. $x^{2}+x+\frac{1}{\sqrt{2}}=0$
30. $\sqrt{5} x^{2}+x+\sqrt{5}=0$
31. $\sqrt{3} x^{2}-\sqrt{2} x+3 \sqrt{3}=0$
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