Question

If a and b are the non-zero distinct roots of x^2 +ax +b=0, then the least value of the expression ax^2+bx+c is ??

Answer 1

a > 0 right

Answer 2

lol right or wrong @shubham.bagrecha

Answer 3

why dont you post the solution

Answer 4

@mukushla

Answer 5

@ganeshie8 solving??

Answer 6

nope.. sorry just watching

Answer 7

do u know the formulas for sum and product of roots for a quadratic equation?

Answer 8

If a and b are non zero distinct roots then:

\[D > 0\]

\[b^2 - 4ac > 0\]

Does that help??

Answer 9

From this we get:

\[a^2 > 4b\]

Answer 10

i think that one of the roots of the given equation value is the smallest value.

Answer 11

how about (x-a)(x-b)= x^2 -(a+b)x+ab must equal x^2+ax+b
so match coefficients
ab=b means a=1
-(b+1)= 1
b= -2

now we can find the min value of ax^2+bx+c

Answer 12

@nitz

Answer 13

i got it.