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If A and B are two roots of the equation X2 –6.5X – 17, then what is the value of A x B?
- a)15
- b)-18
- c)16.5
- d)-17
- e)22
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
If A and B are two roots of the equation X2 –6.5X – 17, th...
The best answer is D.
The roots of the equation are 8.5 and (-2).
The multiplication of the roots is equal to (-17).
The roots of the equation are 8.5 and (-2).
The multiplication of the roots is equal to (-17).
Most Upvoted Answer
If A and B are two roots of the equation X2 –6.5X – 17, th...
Given Equation:
X^2 - 6.5X - 17 = 0
Product of Roots Formula:
For a quadratic equation of the form ax^2 + bx + c = 0, the product of the roots (A and B) is given by:
A x B = c/a
Calculation:
In this case, a = 1, b = -6.5, and c = -17
Therefore, the product of the roots A x B = -17/1 = -17
Final Answer:
Therefore, the value of A x B for the given quadratic equation is -17. Hence, the correct option is (d) -17.
X^2 - 6.5X - 17 = 0
Product of Roots Formula:
For a quadratic equation of the form ax^2 + bx + c = 0, the product of the roots (A and B) is given by:
A x B = c/a
Calculation:
In this case, a = 1, b = -6.5, and c = -17
Therefore, the product of the roots A x B = -17/1 = -17
Final Answer:
Therefore, the value of A x B for the given quadratic equation is -17. Hence, the correct option is (d) -17.
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If A and B are two roots of the equation X2 –6.5X – 17, then what is the value of A x B?a)15b)-18c)16.5d)-17e)22Correct answer is option 'D'. Can you explain this answer?
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