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### High School Mathematics - 212.7 Sum and Product

 Ëxample: Find the sum and product of the roots of 3x2-7x+2 = 0 Solution: Dividing both sides of the equation by 3 we get x2-(7/3)x+2/3 = 0 Sum of the roots = -b/a = 7/3 Product of the roots = c/a = 2/3 Directions: Find the sum and product of the roots of the following equations.
 Q 1: Given the quadratic equation (k-2)x2+(k-5)x-5 = 0 (k not equal to 2), find k so that one root is 2.Answer: Q 2: Form the equation whose roots are 2, 3.Answer: Q 3: Form the equation whose roots are (2-iÖ3)/2, (2+iÖ3)/2Answer: Q 4: Given the quadratic equation (k-2)x2+(k-5)x-5 = 0 (k not equal to 2), find k so that sum of the roots is 3.Answer: Q 5: Find the equation whose roots are n times the roots of the equation x2+px+q = 0Answer: Q 6: Find the equation whose roots are larger by 2 than the roots of the equation x2-3x+2 = 0Answer: Q 7: Form the equation whose roots are 3i, 4iAnswer: Q 8: Form the equation whose roots are (3+Ö7)/, (3-Ö7)/4Answer: Question 9: This question is available to subscribers only! Question 10: This question is available to subscribers only!

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