Advertisements
Advertisements
प्रश्न
Find the square root of the following
9x2 – 24xy + 30xz – 40yz + 25z2 + 16y2
Advertisements
उत्तर
`sqrt(9x^2 - 24xy + 30xz - 40yz + 25z^2 + 16y^2)`
= `sqrt((3x)^2 + (4y)^2 + (5z)^2 - 2(3x)(4y) - 2(4y)(5z) + 2(3x)(5z))`
= `sqrt((3x - 4y + 5z)^2` ...[using (a – b + c)2 = a2 + b2 + c2 – 2ab – 2bc + 2ac]
= |3x – 4y + 5z|
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
`1 + 1/(x^6) + 2/(x^3)`
Find the square root of the following
(4x2 – 9x + 2)(7x2 – 13x – 2)(28x2 – 3x – 1)
Find the square root of the following
`(2x^2 + 17/6 x + 1) (3/2 x^2 + 4x + 2) (4/3 x^2 + 11/3 x + 2)`
Find the square root of the following polynomials by division method
37x2 – 28x3 + 4x4 + 42x + 9
Find the square root of the following polynomials by division method
121x4 – 198x3 – 183x2 + 216x + 144
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"`
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 __________
If α and β are the roots of the polynomial f(x) = x2 – 2x + 3, find the polynomial whose roots are `(alpha - 1)/(alpha + 1), (beta - 1)/(beta + 1)`
