Quadratic Equations
Practice Quadratic Equations MCQs from Algebra — Mathematics.
If roots of ax^2 + bx + c = 0 are in ratio m:n, then:
The sum of a number and its reciprocal is 10/3. Find the number.
Find the values of k for which x^2 - (k+4)x + 2k + 5 = 0 has equal roots.
If α, β are roots of x^2 + x + 1 = 0, find α^2 + β^2.
The product of the roots of (a/b)x^2 + (b/c)x + (c/a) = 0 is:
If one root is square of other for x^2 + px + q = 0, then p^3 - q(3p-1) + q^2 = 0. Is it true?
A train travels 360 km at a uniform speed. If speed was 5 km/h more, it would take 1 hour less. Find speed.
Find the value of k for which the equation 4x^2 - 2(k+1)x + (k+4) = 0 has equal roots.
Solve for x: (x-3)/(x+3) + (x+3)/(x-3) = 10/3.
If α, β are roots of x^2 - px + q = 0, find equation with roots 1/α, 1/β.
If α, β are roots of 2x^2 - 6x + 3 = 0, find α^3 + β^3.
If the roots of x^2 - kx + 1 = 0 are not real, then k lies in: