Find the value of p for which the equation 3x²-px+5=0 has real roots
Solution:
Given equation, 3x²-px+5=0Here, a = 3, b = -p, c = 5Now, b² - 4ac ≥ 0(-p)² - 4 x 3 x 5 ≥ 0p² - 60 ≥ 0p² ≥ 60p ≥ √60p ≥ ±2√15The value of p so that the equation 3x²-px+5=0 has equal roots are ±2√15.