Case Study I Shridharacharya was an Indian mathematician, Sanskrit Pandit and philosopher from Bengal. He is known for his treatises – Trisatika and Patiganita. He was the first to give an algorithm for solving quadratic equations. His other major works were on algebra, particularly fractions and he gave an exposition on zero. He separated Algebra from Arithmetic. The quadratic formula which is used to find the roots of a quadratic equation is known as Shridharacharya’s rule. 1\. A quadratic equation of the form ax2 + bx + c = 0, a ≠ 0, has two roots given by: 1. x = (b ± √b^2 - 4abc)/2a 2. x = (-b ± √b^2 - 2ac)/4a 3. x = (-b ± √b^2 - 2ac)/2ac 4. x = (-b ± √b^2 - 4ac)/2ac . A quadratic equation of the form ax2 + bx + c = 0, a ≠ 0, has rational roots, if the value of (b2 - 4ac) is: 1. less than 0 2. greater than 0 3. equal to 0 4. equal to 0 or a perfect square 3\. The maximum number of roots that a quadratic equation can have is: 1. 1 2. 2 3. 3 4. 4 4\. A quadratic equation ax2 + bx + c = 0, a 0, having real coefficients, cannot have real roots if: 1. b2 - 4ac 0 2. b2 - 4ac = 0 3. b2 - 4ac 0 4. b2 - 4ac 0 5\. The quadratic equation, x2 + 26x + 169 = 0, has: 1. non real roots 2. rational and unequal roots 3. equal roots 4. irrational roots