SOLUTION: Use quadratic formula and a calculator to solve. Round decimal approximations to the nearest hundredth. Find two integers such that the larger is 2 less than eight times the sm

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Question 1029167: Use quadratic formula and a calculator to solve. Round decimal approximations to the nearest hundredth.
Find two integers such that the larger is 2 less than eight times the smaller and the difference of their squares is 884.
Answer by LinnW(1048) About Me  (Show Source):
You can put this solution on YOUR website!
Set I is the smaller integer
Set J as the larger integer
J = 8I - 2
J%5E2+-+I%5E2+=+884
Substituting (8I - 2) for J
%288I+-+2%29%5E2+-+I%5E2+=+884
64I%5E2+-+32I+%2B+4+-+I%5E2+=+884
63I%5E2+-+32I+%2B+4+=+884
subtract 884 from each side
63I%5E2+-+32I+-+880+=+0
The formula is
%28-b+%2B-sqrt%28b%5E2+-+4ac%29%29%2F%282a%29%29
a = 63 , b = -32 , c = -880
%28%28-%28-32%29+%2B-sqrt%28%28-32%29%5E2+-+4%2863%29%28-880%29%29%29%2F%282%2863%29%29%29
%28%2832+%2B-sqrt%281024+%2B+221760%29%29%2F126%29
%28%2832+%2Bsqrt%28222784%29%29%2F126%29 or %28%2832+-sqrt%28222784%29%29%2F126%29
%28%2832+%2B472%29%2F126%29 or %28%2832+-472%29%2F126%29
%28%28504%29%2F126%29 or %28%28-440%29%2F126%29
4 or %28%28-220%29%2F63%29