SOLUTION: What is the answer to 'the square of a number is 70 more than 9 times the number. Find the number'.

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Question 259036: What is the answer to 'the square of a number is 70 more than 9 times the number. Find the number'.
Found 2 solutions by drk, palanisamy:
Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
Let X = the number.
We get from the given information
(i) x%5E2+=+70+%2B+9x
set = 0 and factor like this
(ii) x%5E2+-+9x+-+70=+0
factoring, we get
%28x-14%29%28x%2B5%29=0
solving each parenthesis, we get
x - 14 = 0
x = 14
and
x + 5 = 0
x = -5
we get 2 answers
x = 14 AND x= -5.

Answer by palanisamy(496) About Me  (Show Source):
You can put this solution on YOUR website!
Let the number be x.
Given,the square of a number is 70 more than 9 times the number.
x^2= 9x+70
x^2-9x-70=0
(x-14)(x+5)=0
x=14 or -5