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If x=9-4√5 then find (x-1/x)^2 and x^2-1/x^2 |
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Answer» -step explanation:If X=9-4√5, then what is x+1/x?x=9–45–√ 1x=19–45√ x+1x=9–45–√+19–45√ x+1x=(9–45√)2+19–45√ x+1x=81+16(5)−2(9)(45√)+19–45√ x+1x=81+80−725√+19–45√ x+1x=162−725√9–45√ x+1x=18(9−45√)9–45√ x+1x=18 If x=9-4√5, what is x-1/x?If x=9-4√5, then what is x^2+1/x^2?What is x+1/x if x value is 5-2√3?If x=9+4root5, what is the value of (x) ^4+(1/x) ^4?If x=9-4√5, what is (7)2+1/(x)2?x=9−4√5 (9−x)=4√5 SQUARING both sides we GET 81+x2+−18x=80 x2+1=18x x+1x=18 x = 9 - 4 √5.Since (a+B)(a - b) = a^2 - b^2(9 - 4 √5)(9 + 4 √5) = 81 - 80 = 1=>9 - 4 √5 = 1/(9 +4 √5) which is ‘x’Therefore we can write 1/x = 9 + 4 √5=> x + 1/x = (9 - 4 √5) + (9 + 4 √5) = 9 + 9 = 18.x = 9 - 4√51/x = 1/(9 - 4√5)Now rationalise it= [1/(9 - 4√5)] × [(9 + 4√5)/(9 + 4√5)]= (9+4√5)/[(9)^2 - (4√5)^2]= (9+4√5)/(81 - 80)= 9+4√5.°. x + 1/x = (9 - 4√5) + (9 + 4√5)= 18.Is x+y−−−−√=x−−√+y√ ?What is the value of [1/ (2+√3-2√2)] + [3/ (2+√3+2√2)]?How do I rationalise 2−1√√2+1√√ ?If x=9-4√5, what is x2+1/x2?If 140√x +315=1015, then x is equal to what?Given x = 9 - 4√5So 1/x = 1/(9–4√5)= (9+4√5)/{(9+4√5)(9–4√5)}= (9+4√5)/(81–80)= 9+4√5Hence x+ 1/x = 9-4√5 + 9+4√5 = 18x = 9–4sqrt5x + 1/x = ?Substitute for x:9–4sqrt5 + 1/(9–4sqrt5)Multiply both terms by the DENOMINATOR, which is (9–4sqrt5). In the fraction, the two cancel each other out and you’re left with 1. But for the other term, you end up with 81–16*5, which is 81–80.That leaves you with just 1. Add 1 to that and you get 2.X=9–4√5X=9–4×2.236 (value of √5 = 2.2360)X=9 - 8.944X=0.056X+1/X = 1+0.056/0.056X+1/X=1.056/0.056=18.857So the answer is 18.857x+1x=(9−45–√)+19−45–√=(9−45–√)+9+45–√1=18 x= 9--4 (5)^1/2Rationalisex = 9-4(5)^1/2 ×9+4(5)^1/2 /9+4(5)^1/2=( (9)^2 --16 ×5 ) /9+4(5)^1/2 =1/9+ 4(5)^1/2x+1/x = 9--4(5)^1/2 + 9+ 4(5)^1/2 = 18The required answer is 181/x=1/(9–4\/5)x+1/x=(9–4\/5)+1/(9–4\/5)=10–4\/5/9–4\/5Rationalizing the denominator,we get,(10–4\/5)(9+4\/5)/(9–4\/5)(9+4\/5)=(90+40\/5–36\/5–80)/(81–80)=10–4\/5/1=10–4\/5If x=9-4√5, what is x-1/x?If x=9-4√5, then what is x^2+1/x^2?What is x+1/x if x value is 5-2√3?If x=9+4root5, what is the value of (x) ^4+(1/x) ^4?If x=9-4√5, what is (7)2+1/(x)2?Is x+y−−−−√=x−−√+y√ ?What is the value of [1/ (2+√3-2√2)] + [3/ (2+√3+2√2)]?How do I rationalise 2−1√√2+1√√ ?If x=9-4√5, what is x2+1/x2?If 140√x +315=1015, then x is equal to what?Is 2x–x²+5 a binomial?If x√x+1/x√x=9 then what is the value of √x+1/√x=?What is the value of (-2) ³ × (-3) ² × (-1) ⁴³?What is (2-2) ²?If x=8+2√15, then what is the value of √x+1/√x? |
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