If B are the roots of the quadratic equation is, x2 + ax + b = 0, (b 0), then the quadratic equation whose roots are , is
ax2 + a(b - 1)x + (a - 1)2 = 0
bx2 + a(b - 1)x + (b - 1)2 = 0
x2 + ax + b = 0
abx2 + bx + a = 0
B.
bx2 + a(b - 1)x + (b - 1)2 = 0
Given equation is, x2 + ax + b = 0, (b 0)
its roots are
Then, sum of roots = ...(i)
Product of roots = ...(ii)
Now,
Required of quadratic equation whose roots
is
On putting the values from Eqs. (i) and (ii), we get
If be the roots of the equation x2 - bx + c = 0, Then, which of the following statements is/are correct?
b
If are the roots of the equation x2 + px + q = 0, where are real, then the roots of the equation (p2 - 4q)(p2x2 + 4px) - 16q = 0 are
Let R be the set of real numbers and the functions f : R ➔ R and g : R ➔ R be defined by f(x) = x2 + 2x - 3 and g(x) = x + 1. Then, the value of x for which f(g(x)) = g(f(x)) is
- 1
0
1
2