Find the nature of the roots of the following quadratic equations:
(i) x² – 
– 
= 0
(ii) x² – 2√3x – 1 = 0 If real roots exist, find them.
Solution:
Without solving the following quadratic equation, find the value of ‘p’ for which the given equations have real and equal roots:
(i) px² – 4x + 3 = 0
(ii) x² + (p – 2)x + p = 0.
Solution:
More Fractions And Solutions:
- Solve the following equation by factorization (x – 4)² + 5² = 13².
- Solve the following equation by factorization x² – 4x – 12 = 0.
- Solve the following equation by factorization 5x² – 8x – 4 = 0.
- Solve the following equation by factorization a²x² + 2ax + 1 = 0.
- Solve the following equation by factorization √3x² + 10x + 7√3 = 0
- Solve the following equation by factorization x² – (1 + √2)x + √2 = 0