Question 351681: Please help me solve this probelm
five more than the square of a number is six times the number. Find all such numbers.
Answer by sudhanshu_kmr(1152)   (Show Source):
You can put this solution on YOUR website!
Let the number is x.
now according to question as 5 more than the square of a number ( i.e 5 + x*x )
is 6 times the number ( i.e 6x )
so, 5 + x^2 = 6x
=> x^2 + 5 -6x =0
=> x^2 - 6x +5 = 0
=> x^2 -5x -x + 5 = 0
(here we factorize 5 such that it become -6 after addition)
now x(x -5) -1 (x -5) =0
=> (x-5) (x -1) = 0
so, x-5 = 0 or x-1 =0
x = 5 x = 1
so, required numbers are 1 and 5.
Sometimes there may be typing mistake in solution of a problem, so please ignore it. Understand the concept and try the problem yourself.
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