Question and Answers Forum
AlgebraQuestion and Answers: Page 85
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Question and Answers Forum |
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AlgebraQuestion and Answers: Page 85 |
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| Let x be a positive integer multiple of 17 that satisfies the inequality: 0 < ((5(x − 120))/x) < 1 Find the value of x. |
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| Can we show a+b<a^2 −ab+b^2 ∀ a,b∈N |
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| 1≤a≤37 1≤b≤37 1+7a+8b +19ab = 0 mod(37) a and b natural nambers (a_1 ;b_1 ) (a_2 ;b_2 )......(a_n ;b_n ) n=? |
| Find: (√(9 + 4 (√5))) − (√(9 − 4 (√5))) = ? |
| It is given a family of open interval set (U_r )_(r∈Q) of R that satifies condition ∀r∈Q, r∈U_(r ) . Prove that there exists a family set (U_r )_(r∈Q) which not cover R or ∀ε>0, λ(∪_(r∈Q) U_r )≤ ε . |
| 1. lim_(a→−x) ((sin(x^2 − a^2 ))/(x^3 + a^3 )) = ? 2. cot 80° (tan 10° + 2 tg 70°) = ? |
| ((((√5)+2))^(1/3) +(((√5)−2))^(1/3) )^(2014) =? |
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| Solve ((x + a^2 + 2c^2 )/(b + c)) + ((x + b^2 + 2a^2 )/(c + a)) + ((x + c^2 + 2b^2 )/(a + b)) = 0 |
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| A truck, P traveling at 54km/hr passes through a point at 10:30am, while another truck, Q traveling at 90km/hr passes through this same point 30 minutes later. At what time will truck Q overtake P? |
| Solve the equation: ((x−6)/(2020))+((x−5)/(2021))+((x−4)/(2022))=3 |
| Let x+ xy+ y= 54 ; x, y∈ N , Find x+ y |
| Find the sum of the solutions of the equation: ∣(√x) − 2∣+ (√x) ((√x) − 4)+ 2= 0 ; x> 0 |
| For a, b, c, d ∈ R a+b+c+d=0 ab, ac, ad, bc, bd, cd ≠0 Prove the inequality: ((ab)/((a+b)^2 ))+((ac)/((a+c)^2 ))+((ad)/((a+d)^2 ))+((bc)/((b+c)^2 ))+((bd)/((b+d)^2 ))+((cd)/((c+d)^2 ))≤−(3/2) When is equality reached? |
| f(x)=9^x −m∙3^x +m+6 ∃x∈R, f(x)+f(−x)=0 find the range of m. |
| if a−2b+3c−4d+5e−6f=0, find the maximum of ((∣a+b+c+d+e+f∣)/( (√(a^2 +b^2 +c^2 +d^2 +e^2 +f^2 )))). |
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| f(x)=2^x +3^x −6^x Find f(x)_(max) |
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