A positive

A positive number plus itself squared is 240. What is the number? Please show your works.

Correct answer:

x =  15

Step-by-step explanation:

x+x2=240  x2+x240=0  a=1;b=1;c=240 D=b24ac=1241(240)=961 D>0  x1,2=2ab±D=21±961 x1,2=21±31 x1,2=0.5±15.5 x1=15 x2=16  x>0  x=x1=15

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