Advertisements
Advertisements
प्रश्न
Which of the following should be added to make x4 + 64 a perfect square
पर्याय
4x2
16x2
8x2
– 8x2
Advertisements
उत्तर
16x2
Explanation;
Hint:
x4 + 64 = (x2)2 + 82 + 2 × 8x2
= (x2 + 8)2
APPEARS IN
संबंधित प्रश्न
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 square root of the following polynomials by division method
x4 – 12x3 + 42x2 – 36x + 9
Find the square root of the following polynomials by division method
16x4 + 8x2 + 1
Find the values of a and b if the following polynomial is a perfect square
ax4 + bx3 + 361x2 + 220x + 100
Find the values of m and n if the following polynomial is a perfect square
x4 – 8x3 + mx2 + nx + 16
Find the square root of 289x4 – 612x3 + 970x2 – 684x + 361
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)`
