Home
Class 10
MATHS
If a+b+c=0, then roots of the equation 3...

If a+b+c=0, then roots of the equation `3ax^2+4bx+5c=0` are
(A) Positive
(B) negative
(C) Real and distinct
(D) imaginary

Text Solution

Verified by Experts

It is given that,
`a+b+c = 0`
`=>b = -(a+c)->(1)`
Now, given equation is,
`3ax^2+4bx+5c = 0`
`:.` Disciminant `(D) = (4b)^2 - 4(3a)(5c) `
`=>D = 16b^2-60ac`
From (1),
...
Promotional Banner

Similar Questions

Explore conceptually related problems

If a,b,c are real numbers satisfying the conditgion a+b+c=0, then the roots of the quadratic equation 3ax^(2)+5bx=7c=0 are: a.positive b.negative c.real and distinct d. imaginary

If the two roots of the equation ax^2 + bx + c = 0 are distinct and real then

IF the roots of the equation ax ^2 +bx + c=0 are real and distinct , then

If the roots of the equation ax^(2)+bx+c=0 are real and distinct,then

If a,b,c are real, then both the roots of the equation (x-b)(x-c)+(x-c)(x-a)+(x-a)(x-b)=0 are always (A) positive (B) negative (C) real (D) imaginary.

If a and c are the lengths of segments of any focal chord of the parabola y^(2)=bx,(b>0) then the roots of the equation ax^(2)+bx+c=0 are real and distinct (b) real and equal imaginary (d) none of these

If 0

The roots alpha and beta of the quadratic equation ax^(2)+bx+c=0 are real and of opposite sign.The roots of the equation alpha(x-beta)^(2)+beta(x-alpha)^(2)=0 are a.positive b. negative c.real and opposite sign d.imaginary