Home
Class 12
MATHS
If the equation x^5-10 a^3x^2+b^2x+c^5=0...

If the equation `x^5-10 a^3x^2+b^2x+c^5=0` has three equal roots, then `2b^2-10 a^3b^2+c^5=0` `6a^5+c^5=0` `2c^5-10 a^3b^2+b^4c^5=0` `b^4=15 a^4`

A

`2b^(2) - 10 a^(3)x^(2)+c^(5)=0`

B

`6a^(5) +c^(5)=0`

C

`2c^(2) - 10 a^(3)b^(2)+b^(4)c^(5)=0`

D

`b^(4)= 15a^(4)`

Text Solution

Verified by Experts

The correct Answer is:
B, D
Promotional Banner

Similar Questions

Explore conceptually related problems

If the equation x^(5)-10a^(3)x^(2)+b^(4)x+c^(5)=0 has three equal roots, then

If the equation |x^2+b x+c|=k has four real roots, then a. b^2-4c > 0 and 0 0 and k > (4c-b^2)/4 d. none of these

If the equation a x^2+2b x-3c=0 has no real roots and ((3c)/4) 0 c=0 (d) None of these

If c is positive and 2a x^2+3b x+5c=0 does not have any real roots, then prove that 2a-3b+5b>0.

The value of c for which the equation a x^2+2b x+c=0 has equal roots is (a) (b^2)/a (b) (b^2)/(4a) (c) (a^2)/b (d) (a^2)/(4b)

a^2b^3\ X\ 2a b^2 is equal to: (a) 2a^3b^4 (b) 2a^3b^5 (c) 2a b (d) a^3b^5

If the quadratic equations, a x^2+2c x+b=0 and a x^2+2b x+c=0(b!=c) have a common root, then a+4b+4c is equal to: a. -2 b. 2 c. 0 d. 1

Find the condition on a , b ,c ,d such that equations 2a x^3+bx^2+c x+d=0 and 2ax^2+3b x+4c=0 have a common root.

If a+b+c=0 then check the nature of roots of the equation 4a x^2+3b x+2c=0 where a ,b ,c in Rdot

If a ,\ b ,\ c are positive real numbers, then root(5)(3125\ a^(10)b^5c^(10)) is equal to (a)\ 5a^2b c^2 (b) 25 a b^2c (c) 5a^3b c^3 (d) 125\ a^2b c^2