Question

the equation whose root are 2 and -3 is x²-x-6=0​

Answer 1

Given quadratic equation is x  

2

−2x+4=0

Let α and β be the roots of the equations.

Thus α+β=2,αβ=4

∴2α+2β=4,4αβ=16

Therefore, the equation is x  

2

−4x+16=0.

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