The value of a+1 a-1 a2+1
WebFactors of a 4+a 2+1 are A (a−4)(a+2) B (a 2+2−1)(a 2+a+2) C (a 2+a+1)(a 2−a+1) D (a−1)(a 2−a+1) Medium Solution Verified by Toppr Correct option is C) a 4+a 2+1=(a 2+2a 2+1)−a 2 =(a 2+1) 2−(a) 2 =(a 2+a+1)(a 2−a+1) Was this answer helpful? 0 0 Similar questions Factors of x 6+9x 3+8 are: Medium View solution > WebSolution Given: a 2 - 2 a - 1 = 0 ⇒ a 2 - 1 = 2 a Dividing ' a ' on both sides, we get ⇒ a 2 - 1 a = 2 a a ⇒ a 2 a - 1 a = 2 ⇒ a - 1 a = 2 Squaring both sides, we get ⇒ a - 1 a 2 = 2 2 ⇒ a 2 + 1 a 2 - 2 a 1 a = 4 Using the identity: a - b 2 = a 2 + b 2 - 2 a b ⇒ a 2 + 1 a 2 - 2 = 4 ⇒ a 2 + 1 a 2 = 6 Hence, if a 2 – 2a – 1 = 0, then a 2 + 1 a 2 = 6.
The value of a+1 a-1 a2+1
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Weba2 - 5a - 1 = 0 Rewrite the given equation, we have a2 - 1 = 5a ⇒ `[ a^2 - 1 ]/a = 5` ⇒ `[ a^2/a - 1/a ] = 5` ⇒ `a - 1/a = 5` .....(1) (ii) We need to find `a + 1/a` : We know the identity, ( a - b ) 2 = a 2 + b 2 - 2ab ∴ `( a - 1/a )^2 = a^2 + 1/a^2 - 2` ⇒ `(5)^2 = a^2 + 1/a^2 - 2` [ From(1) ] ... Web2 beds, 1 bath, 1004 sq. ft. condo located at 1500 Queens Rd Unit A2, Charlotte, NC 28207 sold for $325,000 on Aug 31, 2024. View sales history, tax history, home value estimates, …
WebMay 21, 2024 · If you substitute x with the value ( a + 1 / a) then 9 = 3 2 = x 2 = ( a + 1 / a) 2 For (c) you can use the hint given by Salahamam_Fatima and the (b) section, now for x = ( a − 1 / a). Can you solve this now? Share Cite Follow answered May 21, 2024 at 15:32 Rubén Ballester 528 2 11 Add a comment Not the answer you're looking for? WebBasic Math Simplify (a+1) (a-1) (a + 1) (a − 1) ( a + 1) ( a - 1) Expand (a+1)(a−1) ( a + 1) ( a - 1) using the FOIL Method. Tap for more steps... a⋅a+a⋅ −1+1a+1⋅−1 a ⋅ a + a ⋅ - 1 + 1 a + 1 ⋅ - 1 Simplify and combine like terms. Tap for more steps... a2 − 1 a 2 - 1
WebSep 16, 2015 · First, notice that (a + 1/a) 2 = 4 2 = 16. But also, (a + 1/a) 2 = a 2 + 2a (1/a) + 1/a 2 = a 2 + 2 + 1/a 2 = a 2 + 1/a 2 + 2. So a 2 + 1/a 2 + 2 = 16, so a 2 + 1/a 2 = 14. Now, … WebMar 9, 2024 · a 4 + a 3 + a 2 + a + 1 = 0 Formula used: a mn = (a m) n Calculation: a 4 + a 3 + a 2 + a + 1 = 0 ⇒ a 4 + a 3 + a 2 + a = – 1 ---- (1) Both sides multiply by a [a × (a 4 + a 3 + a 2 + a + 1)] = 0 × a ⇒ (a 5 + a 4 + a 3 + a 2 + a) = 0 From equation (1); ⇒ (a 5 – 1) = 0 ⇒ a 5 = 1 According to the question: a 100 + a 200 + a 125 + a 120 + a 300
WebMay 21, 2024 · Answer the following: (a) Expand: ( a + 1 a) 2. (b) Given that ( a + 1 a) = 3, determine the value of ( a + 1 a) 2 without solving for x. (c) Given that ( a − 1 a) = 3, …
WebIf a + 1/a = 4 , then the value of a^2 - 1/a^2 is Question If a+ a1=4, then the value of a 2− a 21 is A 8 3 B 2 3 C 12 D 4 2 Medium Solution Verified by Toppr Correct option is A) (a+ a1) … r change size of axis labelsWeb(a + 1) (5a + 2) Explanation: y = 5a2 + 7a +2 . Since a - b + c = 0, use shortcut. One factor is (a + 1) and the other is (a+ ac = a+ 52) ... More Items Copied to clipboard Examples Quadratic equation x2 − 4x − 5 = 0 Trigonometry 4sinθ cosθ = 2sinθ Linear equation y = 3x + 4 Arithmetic 699 ∗533 Matrix [ 2 5 3 4][ 2 −1 0 1 3 5] r change table column nameWebSimplify (a^2-1)/(a+1) Step 1. Simplify the numerator. Tap for more steps... Step 1.1. Rewrite as . Step 1.2. Since both terms are perfect squares, factor using the difference of squares … r change time formatWebSolution. (a+1) (a-1) (a 2 +1) = [ (a) 2 − (1) 2] (a 2 +1) = (a 2 −1) (a 2 +1) = (a 2) 2 − (1) 2. = a 4 − 1. Concept: Product of Sum and Difference of Two Terms. Report Error. Is there an … sims 4 scary maskWeba2-3a+1=0 Two solutions were found : a =(3-√5)/2= 0.382 a =(3+√5)/2= 2.618 Step by step solution : Step 1 :Trying to factor by splitting the middle term 1.1 Factoring a2-3a+1 The ... r change the name of a columnWebJul 11, 2024 · A2 + 1/a2 =23 find the value of (a+1/a). Advertisement Expert-Verified Answer 113 people found it helpful Haezel Answer: The value of is 5. Step-by-step explanation: … r change titleWebMar 16, 2024 · Example 16 - Show that Determinant = abc (1 + 1/a + 1/b + 1/c) = abc +. Chapter 4 Class 12 Determinants. Serial order wise. sims 4 scary movie mods