Advertisements
Advertisements
प्रश्न
Find the values of m and n if the following polynomial is a perfect square
`1/(x^4) - 6/(x^3) + 13/(x^2) + "m"/x + "n"`
उत्तर
Since it is a perfect square
`1/x` (m + 12) = 0
m + 12 = 0
m = – 12
n – 4 = 0
n = 4
∴ The value of m = – 12 and n = 4
APPEARS IN
संबंधित प्रश्न
Find the square root of the following rational expression
`(400x^4y^12z^16)/(100x^8y^4z^4)`
Find the square root of the following rational expression
`(7x^2 + 2sqrt(14)x + 2)/(x^2 - 1/2 x + 1/16)`
Find the square root of the following rational expression
`(121("a" + "b")^8 (x + y)^8 ("b" - "c")^8)/(81("b" - "c")^4 ("a" - "b")^12 ("b" - "c")^4)`
Find the square root of the following
9x2 – 24xy + 30xz – 40yz + 25z2 + 16y2
Find the square root of the following
(4x2 – 9x + 2)(7x2 – 13x – 2)(28x2 – 3x – 1)
Find the values of m and n if the following polynomial is a perfect square
x4 – 8x3 + mx2 + nx + 16
The values of a and b if 4x4 – 24x3 + 76x2 + ax + b is a perfect square are
If the roots of the equation q2x2 + p2x + r2 = 0 are the squares of the roots of the equation qx2 + px + r = 0, then q, p, r are in __________
Find the square root of 289x4 – 612x3 + 970x2 – 684x + 361
If – 4 is a root of the equation x2 + px – 4 = 0 and if the equation x2 + px + q = 0 has equal roots, find the values of p and q.