Find [m] such that the sum of solutions of the equation

is equal to 0, and the product is equal to 4.

My solution:

But no real solution.

How to solve this?

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- March 12th 2011, 11:26 AMAlex2103Quadratic equation!
Find [m] such that the sum of solutions of the equation

is equal to 0, and the product is equal to 4.

My solution:

But no real solution.

How to solve this? - March 12th 2011, 01:01 PMtopsquark
- March 12th 2011, 02:40 PMHallsofIvy

If a and b are the roots of , then and .

If you require that "the sum of the roots is equal to 0, and the product is equal to 4" then you must have [itex]-2- m- m^2= 0[/tex] and [tex]m^2= 4[tex]. has two roots and one of them will satisfy .