SOLUTION: Solve for x: 5(x – 2)^2 = 3 a. +- 59/25 b. 1/5, 19/5 c. 10+-√15/5 d. 10+-√3/5

Algebra ->  Equations -> SOLUTION: Solve for x: 5(x – 2)^2 = 3 a. +- 59/25 b. 1/5, 19/5 c. 10+-√15/5 d. 10+-√3/5      Log On


   

Question 683903: Solve for x: 5(x – 2)^2 = 3
a. +- 59/25
b. 1/5, 19/5
c. 10+-√15/5
d. 10+-√3/5
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
5%28x+-+2%29%5E2+=+3

%28x+-+2%29%5E2+=+3%2F5

x+-+2+=+sqrt%283%2F5%29 or x+-+2+=+-sqrt%283%2F5%29

x+-+2+=+sqrt%283%29%2Fsqrt%285%29 or x+-+2+=+-sqrt%283%29%2Fsqrt%285%29

x+-+2+=+sqrt%2815%29%2F5 or x+-+2+=+-sqrt%2815%29%2F5

x+=+2+%2B+sqrt%2815%29%2F5 or x+=+2-sqrt%2815%29%2F5

x+=+10%2F5+%2B+sqrt%2815%29%2F5 or x+=+10%2F5-sqrt%2815%29%2F5

x+=+%2810+%2B+sqrt%2815%29%29%2F5 or x+=+%2810-sqrt%2815%29%29%2F5

So the two solutions are x+=+%2810+%2B+sqrt%2815%29%29%2F5 or x+=+%2810-sqrt%2815%29%29%2F5

Which means that the answer is choice C