Web6 jan. 2024 · Find an answer to your question if the zeros of the polynomial x²+px+q are double in the value to the zeros of 2x²-5x-3. find the value of p and q. saleem17 saleem17 06.01.2024 Math Secondary School answered • expert verified WebIf α&β are zeros of the polynomial f (x)=x 2 +px+q,then find a polynomial having 1/α & 1/β as its zeros. Solution f (x)=x²+px+q Sum of roots, α+ β = -p Product of rootsr, αβ = q (1/α + 1/β) = (α + β) / αβ = - p / q 1/αβ = 1 / q. If 1/α, 1/β are zeros of the quadratic polynomial then the equation is x² - (1 / α + 1 / β)x + 1 / αβ = 0 then
[Solved] If p and q are the non-zero roots of the equation x2 + px
Web14 nov. 2024 · x 2 + px + q = 0 Also, given p, q are the roots of the equation. Sum of roots = -p/1 ⇒ p + q = −p ⇒ 2p + q = 0 ..... (1) And product of roots = q/1 ⇒ pq = q ⇒ p = 1 putting the value of p in eq (1), we get 2 (1) + q = 0 ⇒ q = -2 ∴ q has only one value. Download Solution PDF Latest NDA Updates Last updated on Mar 27, 2024 Web13 nov. 2024 · x 2 + px + q = 0 Also, given p, q are the roots of the equation. Sum of roots = -p/1 ⇒ p + q = −p ⇒ 2p + q = 0 ..... (1) And product of roots = q/1 ⇒ pq = q ⇒ p = 1 … subway huntington beach
If p and q are zeroes of polynomial fx=2 x2 7 x+3 find the ... - Byju
Web28 mrt. 2024 · Quadratic equation x 2 + px + q = 0, Formula used: We know for a quadratic equation ax 2 + bx + c = 0, then, product of roots = c/a and sum of roots = -b/a A quadratic equation can be written in terms of roots as x 2 - (sum of roots) x + (product of roots) = 0 Calculation: Since p and q are the roots of the above equation. WebSimilar Problems from Web Search. Go back to the initial equation: x2 −px+ 0 = x(x− p) = 0 has roots p and 0 for all p ∈ R. So it works for any p. Find p and q such that the maximum and minimum values of 5+ 6cosθ +2cos2θ satisfy x2 − px+q = 2. The minimum value is wrong. Let f (t) = 5+ 6t +2(2t2 − 1). [Recall that cos(2x) = 2cos2x ... Web15 mrt. 2024 · if alpha,beta are the zeroes of xsquare +px +q. then find the polynomial having 1/alpha and 1/beta as its zeroes. Asked by ajayrath7 15 Mar, 2024, 08:15: PM Expert Answer given polynomial : x 2 + px + q = 0 ... In each case decide whether they are rational or not. If they are rational and of the form p/q write ... painters on cape cod