Home
Class 12
MATHS
Show that the roots of the equation ax^2...

Show that the roots of the equation `ax^2+2bx+c=0` are real and unequal whre a,b,c are the three consecutive coefficients in any binomial expansion with positive integral index.

Text Solution

AI Generated Solution

Promotional Banner

Similar Questions

Explore conceptually related problems

If the roots of the equation ax^(2)+bx+c=0 are in the ratio m:n then

If both the roots of the equation ax^(2) + bx + c = 0 are zero, then

If the ratio of the roots of the equation ax^(2)+bx+c=0 is m: n then

If a,b, cinR , show that roots of the equation (a-b)x^(2)+(b+c-a)x-c=0 are real and unequal,

If the roots of the equation ax^2-bx-c=0 are changed by same quantity then the expression in a,b,c that does not change is

If the roots of the equation x^2+2c x+a b=0 are real unequal, prove that the equation x^2-2(a+b)x+a^2+b^2+2c^2=0 has no real roots.

If the equation cx^(2)+bx-2a=0 has no real roots and a lt (b+c)/(2) then

If the equation cx^(2)+bx-2a=0 has no real roots and a lt (b+c)/(2) then

If the equation ax^(2) + bx + c = 0, a,b, c, in R have non -real roots, then

If the roots of the equation ax^(2)+bx+c=0 be in the ratio 3:4, show that 12b^(2)=49ac .