Question

if A and B are the non zero roots of the equation X square + a x + b is equal to zero then the least value of the expression X square + a x + b is equal to​

Answer 1

Step-by-step explanation:

If a,b are the roots of the equation x

2

+ax+b=0,

Then a+b=−a⇒b=−2a and ab=b⇒a=1

Hence, b=−2

So, the quadratic equation =x

2

+x−2

The minimum value of the function exists at x=−

2

1

The least value is (−

2

1

)

2

−

2

1

−2=−

4

9

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