BMAT 2004 Section 2 Question 27

The sum of the roots of a quadratic equation is 7, the product of the roots is 9. What is the
equation?

Answer:

To solve this, we need to use the equation:

(x – a) (x – b) = (x² – xb – xa + ab), where a and b are the solutions.

x² – xb – xa + ab = x² – x (b + a) + ab

We know that the sum of the roots of the quadratic equation is 7 and the product is 9.
i.e. (a + b) = 7 and (ab) = 9.

So, we need to substitute these values in. We get the equation:

x² – x (b + a) + ab = (x² – 7x + 9)

Hence the answer is C.

Sami Qamar

I’m Sami Qamar. I’m a YouTuber, Blogger, and first year med student.

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