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.
bx2+ax+c = 0
ax2-bx+c = 0
c x2+bx+a = 0
c x2-bx-a = 0
3 a2+4 b2
3 a2+4 b
3 a+4 b
3 a-4 b
Square root of
Sum of the roots of the equation 4 x2 -1 = 0 is
-1/4
0
1/4
4
Solution set of x(x-1) =0 is
{1, -1}
{-1}
{0,1}
{0,-1}
If a x2 + b x + c is a perfect square, then
a2 = 4 bc
b2 = 4 ac
a = 4 c
b2 = 4 a
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
Product of the roots of the equation 2 x2-3 x = 5 is
-3/2
3/2
5/2
-5/2
2x4y2
4x8y2
2x8y2
16x8y2
Square root of x2 - 2 + 1/x2 =
x - 2
x + 1/x
x + 2
x - 1/x
