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Question Number 52859    Answers: 0   Comments: 3

Question Number 52847    Answers: 0   Comments: 2

Question Number 52846    Answers: 1   Comments: 0

Question Number 52845    Answers: 1   Comments: 0

Question Number 52841    Answers: 1   Comments: 4

Question Number 52881    Answers: 1   Comments: 9

Question Number 52825    Answers: 1   Comments: 4

Question Number 52820    Answers: 1   Comments: 0

y = log{(√x) +(1/((√x) ))}^2 show that x(x+1)^2 y_2 + (x+1)^2 y_1 = 2

$${y}\:=\:{log}\left\{\sqrt{{x}}\:+\frac{\mathrm{1}}{\sqrt{{x}}\:\:\:}\right\}^{\mathrm{2}} \:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\: \\ $$$${show}\:{that} \\ $$$${x}\left({x}+\mathrm{1}\right)^{\mathrm{2}} {y}_{\mathrm{2}} \:+\:\left({x}+\mathrm{1}\right)^{\mathrm{2}} {y}_{\mathrm{1}} \:=\:\mathrm{2} \\ $$

Question Number 52818    Answers: 1   Comments: 0

Question Number 52814    Answers: 0   Comments: 6

Question Number 52808    Answers: 0   Comments: 0

Question Number 52806    Answers: 1   Comments: 2

Question Number 52802    Answers: 0   Comments: 0

Question Number 52795    Answers: 2   Comments: 0

Question Number 52790    Answers: 1   Comments: 0

Question Number 52787    Answers: 2   Comments: 0

Question Number 52786    Answers: 1   Comments: 1

Question Number 52780    Answers: 1   Comments: 1

Question Number 52765    Answers: 1   Comments: 1

Question Number 52752    Answers: 0   Comments: 5

Question Number 52741    Answers: 1   Comments: 0

please help me solve this question sir. In a survey of 100 out-patients who reported at the hospital one day, It was found out that 70 coplained of fever, 50 complained of stomach ache and 30 were injured. All patients had at least one of the complaints and 44 had exactly two of the complaints. How many had all complaints?

$$\: \\ $$$${please}\:{help}\:{me}\:{solve}\:{this}\:{question}\:{sir}. \\ $$$$\mathrm{I}{n}\:{a}\:{survey}\:{of}\:\:\mathrm{100}\:{out}-{patients}\:{who}\: \\ $$$${reported}\:{at}\:{the}\:{hospital}\:{one}\:{day},\:{It}\: \\ $$$${was}\:{found}\:{out}\:{that}\:\mathrm{70}\:{coplained}\:{of}\: \\ $$$${fever},\:\mathrm{50}\:{complained}\:{of}\:{stomach}\: \\ $$$${ache}\:{and}\:\mathrm{30}\:{were}\:\:{injured}.\:{All}\:\: \\ $$$${patients}\:{had}\:{at}\:{least}\:{one}\:{of}\:{the}\: \\ $$$${complaints}\:{and}\:\mathrm{44}\:{had}\:{exactly}\:{two}\: \\ $$$${of}\:{the}\:{complaints}.\:{How}\:{many}\:{had}\:{all}\: \\ $$$${complaints}? \\ $$

Question Number 52730    Answers: 0   Comments: 0

The area of a re

$${The}\:{area}\:{of}\:\:{a}\:{re} \\ $$$$ \\ $$$$ \\ $$$$ \\ $$$$ \\ $$$$ \\ $$$$ \\ $$$$ \\ $$$$ \\ $$$$ \\ $$$$ \\ $$$$ \\ $$$$ \\ $$$$ \\ $$$$ \\ $$$$ \\ $$$$ \\ $$$$ \\ $$$$ \\ $$$$ \\ $$$$ \\ $$$$ \\ $$$$ \\ $$$$ \\ $$$$ \\ $$$$ \\ $$

Question Number 52731    Answers: 1   Comments: 11

Question Number 52728    Answers: 0   Comments: 0

How can you proove what follows ? If (4n+1) is prime, then : 4n + 1 = a^2 + b^2 with a, b ∈ N Thank you

$${How}\:{can}\:{you}\:{proove}\:{what}\:{follows}\:? \\ $$$$ \\ $$$$\mathrm{If}\:\left(\mathrm{4}{n}+\mathrm{1}\right)\:\mathrm{is}\:\mathrm{prime},\:\mathrm{then}\:: \\ $$$$\:\:\:\mathrm{4}{n}\:+\:\mathrm{1}\:=\:{a}^{\mathrm{2}} \:+\:{b}^{\mathrm{2}} \:\:\:\:\mathrm{with}\:{a},\:{b}\:\in\:\mathbb{N} \\ $$$$ \\ $$$${Thank}\:{you} \\ $$

Question Number 52713    Answers: 2   Comments: 1

if ∣x∣=∣y∣ is (x/y)=−1?

$${if}\:\mid{x}\mid=\mid{y}\mid\:{is}\:\frac{{x}}{{y}}=−\mathrm{1}? \\ $$

Question Number 52708    Answers: 0   Comments: 0

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