Question

determine whether the given numbers are roots of the given equation or not :
x²-5x+6=0; 2, -3​

Answer 1

Answer:

Here is your answer,

Let the roots of our equation are a,b

we have sum of roots

a+b= 5. (eq1)

a³+b³=35

using the above relation we can find the product of roots of the equations.

35=(5)³-3ab(5)

35=125-15ab

15ab=90

ab=6. (eq2)

HENCE Product of the roots of the equation.

using both equations 1 and 2

the required equation with the sun of roots 5 and product of roots 6.

ANSWER x²-5x+6=0

Hope it helps you!

Step-by-step explanation:

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