EQUATIONS

2010-07-27 7:26 am
5^(X+1)-5^(X)=500

2^(X+2)+2^(X-2)=32

5x+4=6x^2

1-5x=-3x^2



ANS:
1.3

2.2.91

回答 (1)

2010-07-27 7:41 am
✔ 最佳答案
5^(X+1)-5^(X)=500(5^x)(5 - 1) = 5005^x = 1255^x = 5^3x = 3
2^(X+2)+2^(X-2)=32[2^(X-2)] (2^4 + 1) = 322^(X-2) = 32/17(X-2) log 2 = log(32/17)X =[ log(32/17) ] /( log2 ) + 2X = 2.912537159 X = 2.91(2 dec.)
5x+4=6x^26x^2 - 5x - 4 = 0(3x - 4)(2x + 1)x = 4/3 or x = - 1/2
1-5x=-3x^2-3x^2 + 5x - 1 = 03x^2 - 5x + 1 = 0x = [5 +/- (25 - 4*3)^(1/2) ] / 6x = [5 +/- 13^(1/2) ] / 6


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