If an integer is added to its square, the sum is 90 find the integer with the help of quadratic equation
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let integer be x
it's square =x^2
if x is added to its square then, the result is x^2+x.
according to problem
x^2+x=90
I. e,
x^2+x-90=0
x^2+10x-9x-90=0
x(x+10)-9(x+10)=0
x-9=0. or x+10=0
then, x=9 or -10
OK
it's square =x^2
if x is added to its square then, the result is x^2+x.
according to problem
x^2+x=90
I. e,
x^2+x-90=0
x^2+10x-9x-90=0
x(x+10)-9(x+10)=0
x-9=0. or x+10=0
then, x=9 or -10
OK
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