Sum of roots of the equation 4x2-1=0 is
-1/4
0
1/4
4
If ax2+ bx+c is a perfect square, then
a2= 4bc
b2= 4ac
a=4c
b2= 4a
If x+1/x= a; then x2+1/x2 =
a2-2
a2+2
a2
a2+1
The second order homogeneous expression in x,y
ax2+bxy+cy2
ax2+bx
ax+by2
ax2+by
Square root of (x-2)2. (x+1)2. (2x+1)2=
(x-2) (x+1)(2x+1)
(x-2)2. (x+1)2.(2x+1)2
(x-2)4 (x+1)4(2x+1)4
(x-2) (2x+1)
Square root of a/b + b/a - 2 =
√a - √b
√a + √b
4x2- 9= 0; solution set of the given equation is
{9/4}
{3/2}
{±3/2}
{0}
Frame an equation in x having 2 and -3 as roots.
x2+x+6=0
x2-x-6=0
x2-6=0
x2+x-6=0
If (a+b) is one of the factors of a cyclic expression, then the other factors are
b+c
(b+c)(c-a)
(b-c), (c-a)
(b+c), (c+a)
If α and β are the roots of the equation ax2+bx+c=0, then the quadratic equation having 1/α , 1/β as roots is
bx2+ax+c=0
ax2-bx+c=0
cx2+bx+a=0
cx2-bx-a=0
