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AlgebraQuestion and Answers: Page 223
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Question and Answers Forum |
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AlgebraQuestion and Answers: Page 223 |
| f(f(x))=x^2 −1 find f(x) |
| Solve x^x =2x |
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| Given that I_n = ∫_0 ^1 x(1−x)^n dx obtain a reduction formulae for I_(n ) in terms of I_(n−2) Hence evaluate ∫_0 ^1 x(1−x)^5 dx. |
| Find the number of triplets(x/a/b) where x is a real number and (a/b) belongs to the set {1/2/3/4/5/6/7/8/9} such that x^2 −a{x}+b =0 where {x} denotes the fractional part of real number x |
| solve { ((∣x−1∣+∣y−1∣=1)),((∣x−1∣−y=−5)) :} |
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| r4width10calculatesurfacearea |
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| Solve the system of equations { ((x^2 +y^2 +((2xy)/(x+y)) = 1)),(((√(x+y)) = x^2 −y)) :} in real numbers x,y. |
| ⌊x⌋ +⌊2x⌋+⌊4x⌋+⌊8x⌋+⌊16x⌋+⌊32x⌋=123456 find all values of x for which this relation holds? |
| If x = (√(5 )) + (√3),then x^3 + (1/x^3 ) = ? or, is it possible at all? |
| solve this equation { ((xy+x+y=19)),((yz + y+z = 11)),((z+x+zx = 14)) :} |
| resoudre equation∣−2x−(√(3/))4∣=5−2(√7) |
| Calculate the sum Σ_(k = 1) ^n (1/( (√(k+(√(k^2 +1)))))) . |
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| Σ_(k=p) ^∞ 4∙3^(2−k) = (2/9) p = ? |
| a, b and c are solutions of x^3 −4x^2 −5x+8=0. Without determinating a, b and c ; calculate a+b+c. |
| { ((x^2 +y=36)),((x+y^2 =25 x=? y=?)) :} |
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