SOLUTION: Solve for x: 25x-50=23/x a. -5+-√2/5 b. 5+-√/5 c. 7/5, 3/5 d. 3/5, -7/5

Algebra ->  Equations -> SOLUTION: Solve for x: 25x-50=23/x a. -5+-√2/5 b. 5+-√/5 c. 7/5, 3/5 d. 3/5, -7/5      Log On


   

Question 683896: Solve for x: 25x-50=23/x
a. -5+-√2/5
b. 5+-√/5
c. 7/5, 3/5
d. 3/5, -7/5
Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
Multiply the entier equation by x
25x%5E2+-+50x+=+23
x%5E2+-+2x+=+23%2F25 ==> divided the entire equation by 25
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Complete the square
x%5E2+-+2x+%2B+1+=+23%2F25+%2B+1
%28x-1%29%5E2+=+48%2F25
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sqrt%28x-1%29%5E2 = +/- sqrt%2848%2F25%29
x-1 = +/- sqrt%2816%2A3%29%2Fsqrt%2825%29
x-1 = +/- 4sqrt%283%29%2F5
x = 1+%2B-+%284sqrt%283%29%29%2F5
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Quadratic Formula
x = %28-%28-50%29%2B-sqrt%28-50%5E2-4%2825%29%28-23%29%29%29%2F%282%2A25%29
x = %2850%2B-sqrt%282500%2B2300%29%29%2F%2850%29
x = %2850%2B-sqrt%284800%29%29%2F50
x = %2850%2B-sqrt%28100%2A16%2A3%29%29%2F50
x = %2850%2B-4%2A10sqrt%283%29%29%2F50
x = %2850%2B-40sqrt%283%29%29%2F50
x = 1+%2B-+%284sqrt%283%29%2F5%29
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1+%2B-+%284sqrt%283%29%2F5%29
which could be structured as
x = 5%2F5+%2B-+%284sqrt%283%29%29%2F5
x = %285+%2B-+4sqrt%283%29%29%2F5
Is that what choice B gave??
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Perhaps you may want a second opinion.
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