6 and 6 times of a number is added to its square and gets 78. write this statement in the form of the equation?
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If a number added to twice its square, the result is 21. Find the number.
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let the number is x
then,
6+6x+x^2=78
=.> x^2+6x+6-78=0
=> x^2+6x-72=0
=> x^2+12x-6x-72=0
=> x(x+12)-6(x+12)=0
=> (x+12)(x-6)=0
=> x+12=0
=> x= -12
again, x-6=0
=> x=6
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