If a,ß are the roots of the equation p*x^2+qx + q = 0 p ne0, find the value of \a/B) + √(B/a) скачать в хорошем качестве

If a,ß are the roots of the equation p*x^2+qx + q = 0 p ne0, find the value of \a/B) + √(B/a)

1. If a,ẞ are the roots of a quadratic equation. Express the following symmetric functions in terms of alpha + beta and αβ. (i) (alpha - beta) ^ 2 (ii) (alpha + beta) ^ 3 (iii) alpha ^ 2 * beta ^ - 1 + beta ^ 2 * alpha ^ - 1 (iv) alpha ^ 3 * beta + alpha * beta ^ 3 (v) 1/(a ^ 3) + 1/(beta ^ 3) (vi) (1/a - 1/beta) ^ 2 2. If a,ẞ are the roots of the equation 2x ^ 2 - 3x + 7 = 0 find the value of following symmetric functions. (i) (1/a + 1/beta) ^ 2 (ii) alpha/(beta ^ 2) + beta/(alpha ^ 2) (iii) 1/(aa + 1) + 1/(a*beta + 1) 3. If a,ẞ are the roots of the equation p * x ^ 2 + qx + q = 0 p ne0, find the value of sqrt(alpha/beta) + sqrt(beta/alpha) 4. Represent symmetric equation alpha + beta = 8 graphically when a and ẞ are the root of a quadratic equation and also plot the graph.