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June 18th, 2012, 05:30 AM   #1
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Sum & Product of the Roots of a Quadratic Equation

Having a bit of trouble with this one. can anyone help?

Many thanks.

Q. Find the value of p, if 1 root of the equation is 2 greater than the other root.

Attempt:

Sum of Roots: => => => => ...(i)

Product of Roots: => => => => ...(ii)

From (i): =>

From (ii): => => => =>

Ans.: (From text book):
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June 18th, 2012, 06:37 AM   #2
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Re: Sum & Product of the Roots of a Quadratic Equation





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June 18th, 2012, 06:41 AM   #3
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Re: Sum & Product of the Roots of a Quadratic Equation

Hello, bilano99!

Quote:



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June 18th, 2012, 07:02 AM   #4
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Re: Sum & Product of the Roots of a Quadratic Equation

Ah! I see what I did. Thanks, guys.
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June 18th, 2012, 09:26 AM   #5
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Re: Sum & Product of the Roots of a Quadratic Equation

Another approach:

The difference between the two roots is 2:







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