Web12 sep. 2013 · If the polynomial k 2 x 3 − kx 2 + 3kx -k is exactly divisible by (x-3) then the positive value of k is ____. What must be subtracted from 4x^4-2x^3-6x^2+2x+6 so that … WebIf ab : bc : ca = 2 : 3 : 4, find the ratio of a^2 : b^2 : c^2 A. 1 : 1 ... GMAT Club Forum. ... Apr 15. 10 Weeks: 40+ Hours Live Classes with the Leading Industry ... her approach towards applications essays and interviews which landed her a forte fellowship and Dean's fellowship worth USD 100k. Apr 15. 10 Weeks: 40+ Hours Live Classes with ...
Triangle calculator
Web4 aug. 2024 · If a + b + c = 1, ab + bc + ca = 2 and abc = 3, then the value of a4 + b4 + c4 is equal to _____. Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. WebIf a+b+c=14 and a 2+b 2+c 2=74, then the value of ab+bc+ca$$ is A 60 B 88 C 61 D 0 Medium Solution Verified by Toppr Correct option is C) a+b+c=14 and a 2+b 2+c 2=74 (a+b+c) 2=a 2+−b 2+c 2+2(ab+bc+ca) 14 2=74+2(ab+bc+ca) ab+bc+ca= 2196−74= 2122=61 Was this answer helpful? 0 0 Similar questions If a 2+b 2+c 2=90 and a+b+c=20. janet suddreth capital title
If a + b + c = 1, ab + bc + ca = 2 and abc = 3, then the value of …
WebSolution: Consider ΔABC as the given triangle Using the law of vector addition, AB + BC = AC Add CA on both sides AB + BC + CA = CA + AC We know that AC = - CA So we get AB + BC + CA = CA - CA AB + BC + CA = 0 Therefore, the value of vector AB + BC + CA is 0. If A, B and C are the vertices of a ΔABC, then what is the value of vector AB + BC … Web2 jul. 2024 · a + b + c = 4 Squaring both sides a 2 + b 2 + c 2 + 2 (ab + bc + ca) = 16 ⇒ a 2 + b 2 + c 2 + 2 × 1 = 16 ⇒ a 2 + b 2 + c 2 = 14 Now, a 3 + b 3 + c 3 – 3abc = (a + b + c) ( a 2 + b 2 + c 2 – ab – bc – ca) = 4 (14 – 1) = 52 ∴ a 3 + b 3 + c 3 – 3abc = 52 Shortcut Trick let us assume c = 0 , we get a + b = 4 ,ab +0 +0 =1 [ab =1] to find a3 + b3 Web6 mrt. 2024 · Substitution of b = 4 − a − c 2 into ab + bc + ca gives: − a2 2 + 2a − c2 2 + 2c = 1 2(4a − a2 + 4c − c2) = 1 2(4 − (2 − a)2 + 4 − (2 − c)2) = 4 − 1 2(2 − a)2 − 1 2(2 − c)2 And this is clearly maximal when a = c = 2; yielding a maximal value of 4. Share Cite Follow edited Mar 6, 2024 at 15:04 answered Mar 6, 2024 at 14:58 StackTD 27.6k 31 60 lowest priced beach cottages nc