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High School Mathematics6.4 Relation Between Roots and Coefficients of a Quadratic Equation

 If the roots of ax2 + bx + c = 0 are a and b then, Sum of the roots (a + b) = -b/a = (Coefficient of x / Coefficient of x2). Product of the roots (a * b) = c/a = (constant term / coefficient of x2). Example - I: Find the sum of the roots of x2 - x - 20 = 0. Solution: Given that x2 - x - 20 = 0. Formula for sum of the roots (a + b) = -b/a Here, a = 1 and b = -1 = -(-1)/1 = 1 Example - II: Find the product of the roots of x2 - x - 20 = 0 Solution: Given that x2 - x - 20 = 0 Formula for sum of the roots (a * b) = c/a Here, a = 1 and c = -20 = -20/1 = -20 Directions: Solve the following problems. Also write at least 5 examples of your own.
 Q 1: Find the product of the roots of 8x2 - 14x - 15 = 0.-8/15-15/815/88/15 Q 2: Find the sum of the roots of 2x2 + 11x + 12 = 0.-2/11-11/211/22/11 Q 3: Find the product of the roots of 2x2 + 7x + 6 = 0.2/5-33 Q 4: Find the sum of the roots of 6x2 + 13x + 5 = 0.6/13-13/613/6-6/13 Q 5: Find the sum of the roots of 6x2 + 7x + 2 = 0.-6/76/7-7/67/6 Q 6: Find the product of the roots of 6x2 - 13x + 6 = 0.5-11 Question 7: This question is available to subscribers only! Question 8: This question is available to subscribers only!

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