If a and b are zeroes of px2-5x+q
Web21 jun. 2015 · if a,b are the zeroes of the polynomial f(x)=2x2+5x+k satisfying the relation a2+b2+ab=21/4, then find the value of k for yhis to be ... + b - 4a = 0. Asked by snehaljain870 07 Sep, 2024, 06:58: PM. ANSWERED BY EXPERT. CBSE 10 - Maths. For what values of a the following pair of equation 4x+3y=3 and 8x+ay=5 will have a unique ... Web18 nov. 2024 · If α + β + γ = 0, than α 3 + β 3 + γ 3 = 3αβγ Calculation: As α, β and γ are the root of kx 3 - 5x + 9 On comparing it with ax 3 + bx 2 + cx + d a = k, b = 0 c = - 5 and d = 9 ⇒ α + β + γ = 0 --- (1) αβγ = - 9/k --- (2) Hence, according to above formula, α 3 + β 3 + γ 3 = 3αβγ According to question α 3 + β 3 + γ 3 = 27 ⇒ 3αβγ = 27 ⇒ αβγ = 9
If a and b are zeroes of px2-5x+q
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Web28 dec. 2024 · QUALIFYING ROUND 5. If a and b are the zeroes of a polynomial p x 2 − 5 x + q, then the values of p and q, if a + b = ab = 10, are (b) 5 and 2 (a) 5 and 1/2 (d) 10 … Web20 jun. 2024 · Step-by-step explanation: We are given a quadratic equation, a and b are the zeroes of equation, and . we have to find the value of p and q. Formula used. …
Web25 jan. 2024 · If a and b are the zeroes of a polynomial px2−5x+q, then the values of p and q, if a+b=ab=10, are (a) 5 and 1/2 (b) 5 and 2 (c) 1/2 and 5 (d) 10 and 1 hort Answer … WebIf alpha and beta are the zeroes of quadratic polynomial 3s^2-6s+4, then what is the value of alpha/beta+beta/alpha+2 (1/alpha+1/beta) + 3 alphabeta? - Quora Answer (1 of …
Web21 feb. 2024 · Class 10 maths If the sum of the zeroes of polynomial 5x2- (3+k)x+7 is a zero If α, β are the Zeroes of the Quadratic Polynomial p (x) = 6x2 - 5x +k such that α-β=1/6, find k Given that the... Web6 sep. 2013 · Kishore Kumar. Given polynomial is p (x) = 2x3-5x2+px+b. Since x = 2 is zero of the given polynomial, we have p (2) = 0. Now put x = 2 in p (x) p (2) = 2 (2)3 – 5 (2)2 + p (2) + b. ⇒ 0 = 16 – 20 + 2p + b. ⇒ 2p + b = 4 → (1) It is also given that x = 0 is also a zero of the given polynomial. Hence p (0) = 0.
WebSOLUTION. We know that, for a quadratic equation ax2+bx+c =0, Sum of roots = α+β and product of roots = αβ where α and β are the roots of the equation. Also, α+β = −b a and …
Web28 dec. 2024 · If a and b are the zeroes of a polynomial px2−5x+q, then the values of p and q, if a+b=ab=10, are (b) 5 and 2 (a) 5 and 1/2 (d) 10 and 1 (c) 1/2 and 5 Short Answer Type (I) Questions 7. If one of the zeroes of the quadratic polynomial f (x)=4x2−8kx−8 magnitude but opposite in sign of the other, then find the value of k : 8. kid storys to tellWebIf α and β are the zeroes of the polynomial p (x) = 2 x 2 + 5 x + k satisfying the relation, α 2 + α β = 4 2 1 , then find the value of k. Medium Open in App kids tote bags personalizedWeb31 aug. 2010 · Since a and b are the roots, we can write by substituing for x, a and b respectively, a 3 + ab + c = 0 .... (1) ab 2 + b 2 + c = 0 ... (2) Also (x - a) (x - b) = 0 x 2 - (a+b) + ab = 0 Comparing with given p (x), b/a = -a - b c/a = ab c = a 2 b We can use this c in (1) and (2), to get the desired result. kids totes snow bootsWebQuestion : If α and β are the zeros of the quadratic polynomial f (x)=3x2-5x-2, then evaluate i) α2+β2 ii)α3+β3 iii)α/β+β/α. Doubt by Yathartha Solution : f (x) = 3x2-5x-2 a = 3 b = -5 c … kids touchscreen learning desktopWebThe correct option is B 29 Given that α and β are zeroes of the quadratic polynomial x 2 + 7 x + 5. ∴ α + β = –7 and αβ = 5 …..(ii) Now, (α − β) 2 = α 2 + β 2 − 2 α β ⇒ (α − β) 2 = α 2 + β 2 + 2 α β − 4 α β (Adding and subtracting 2αβ on … kids touch my body challenge inappropriateWebIf a polynomial is divided by its factor, then the remainder is equal to zero. Hence, equate the calculated remainder to zero and find the value of unknowns. Complete step by step … kids touch my feet challengeWebIf 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 kids totoro shirt