Advertisements
Advertisements
Question
Find the value of k for which the roots of the equation 3x2 -10x +k = 0 are reciprocal of each other.
Advertisements
Solution
3x2 - 10x + k = 0
∵ Roots of the given equation are reciprocal of each other.
Let the roots be α and `1/α `
For a Quadratic Equation ax2 + bx + c = 0.
Sum of Roots is given by `("- b")/"a"`
APPEARS IN
RELATED QUESTIONS
Find the values of k for which the quadratic equation (3k + 1) x2 + 2(k + 1) x + 1 = 0 has equal roots. Also, find the roots.
If one root of the quadratic equation is `3 – 2sqrt5` , then write another root of the equation.
Find the value of k for which the following equation has equal roots.
x2 + 4kx + (k2 – k + 2) = 0
In the quadratic equation kx2 − 6x − 1 = 0, determine the values of k for which the equation does not have any real root.
Solve x2/3 + x1/3 - 2 = 0.
In each of the following, determine whether the given numbers are roots of the given equations or not; x2 – 5x + 6 = 0; 2, – 3
Find the values of k so that the quadratic equation (4 – k) x2 + 2 (k + 2) x + (8k + 1) = 0 has equal roots.
If p, q and r are rational numbers and p ≠ q ≠ r, then roots of the equation (p2 – q2)x2 – (q2 – r2)x + (r2 – p2) = 0 are:
Every quadratic equations has at most two roots.
If the coefficient of x2 and the constant term have the same sign and if the coefficient of x term is zero, then the quadratic equation has no real roots.
