Home
Class 12
MATHS
Given that two roots of 4x^3+20x^2-23x+6...

Given that two roots of `4x^3+20x^2-23x+6=0` are equal,find all the roots of the given equation .

Text Solution

Verified by Experts

The correct Answer is:
`therefore` roots are `1/2,1/2,-6`
Promotional Banner

Topper's Solved these Questions

  • THEORY OF EQUATIONS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERCISE -4(a)|23 Videos

  • THEORY OF EQUATIONS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERCISE -4(b)|24 Videos

  • SYSTEM OF CIRCLE

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERXCISE - 2(b)|23 Videos

Similar Questions

Explore conceptually related problems

If the two roots of 4x^3 + 20 x^2 -23x + 6=0 are equal then find all the roots .

Given that the sum of two roots of x^4-2x^3+4x^2+6x-21=0 is zero , find the roots of the equation .

Given that one root of 2x^3+3x^2-8x+3=0 is double of another root , find the roots of the equation.

It two roots of 20x^(3) - 16x^(2) + x + 1 = 0 are equal then the roots are

Given that 2 is a root of x^3-6x^2+3x+10=0 , find the other roots .

Find the nature of the roots of 4x^(2)-20x+25=0

The abscissae of two points P,Q are the roots of the equation 2x^2+4x-7=0 and their ordinates are the roots of the equation 3x^2-12x-1=0 . Then the centre of the circle with PQ as a diameter is

find the multiple roots of 8x^3 + 20 x^2 + 6 x-9 =0

If two roots of x^(3) - 4x^(2) + x + 6 = 0 are in the ratio 2 : 3 then the roots are

Solve 4x^3-24x^2+23x+18=0 ,givne that the roots of this equation are in arithmetic progression