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Online Quiz (Worksheet A B C D)

Questions Per Quiz = 2 4 6 8 10

High School Mathematics - 2
12.7 Sum and Product

ňxample: 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: Find the equation whose roots are larger by 2 than the roots of the equation x2-3x+2 = 0
Answer:

Q 2: 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 3: Form the equation whose roots are (3+÷7)/, (3-÷7)/4
Answer:

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 = 0
Answer:

Q 6: Form the equation whose roots are (2-i÷3)/2, (2+i÷3)/2
Answer:

Q 7: Given the quadratic equation (k-2)x2+(k-5)x-5 = 0 (k not equal to 2), find k so that product of the roots is -4.
Answer:

Q 8: Form the equation whose roots are 2, 3.
Answer:

Question 9: This question is available to subscribers only!

Question 10: This question is available to subscribers only!


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