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1. Find X.(5.4) ^x (5.4)^2 / (5.4)^ -7 = (5.4)^ 52. Find the two real solutions.1-x / x = x 3. Rationalize the denominator of expression 圖片參考：http://r140.n100.queensu.ca:8080/webwork2_files/tmp/equations/5d/9f67a1715747f40ef8410765dfe2b71.pngi.e., write it in the form... 顯示更多 1. Find X. (5.4) ^x (5.4)^2 / (5.4)^ -7 = (5.4)^ 5 2. Find the two real solutions. 1-x / x = x 3. Rationalize the denominator of expression 圖片參考：http://r140.n100.queensu.ca:8080/webwork2_files/tmp/equations/5d/9f67a1715747f40ef8410765dfe2b71.png i.e., write it in the form of 圖片參考：http://r140.n100.queensu.ca:8080/webwork2_files/tmp/equations/d5/9c72d40852ca2beea26899615f43521.png 4. The difference of two positive numbers is 5 and the sum of their squares is 53. Find the numbers.

最佳解答:

1) 5.4x 5.42/5.4-7 = 5.45 5.4x+9 = 5.45 x + 9 = 5 x = -4 2) (1 - x)/x = x 1 - x = x2 x2 + x - 1 = 0 x = (-1 + √5)/2 or (-1 - √5)/2 3) √(3/5) = (√3)/(√5) = (√3 x √5)/5 = (√15)/5 4) Let the nos. be x and x + 5, then x2 + (x + 5)2 = 53 2x2 + 10x + 25 = 53 2x2 + 10x - 28 = 0 x2 + 5x - 14 = 0 (x + 7)(x - 2) = 0 x = -7 (rej.) or 2 So the nos. are 2 and 7

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