Five times a certain whole number is equal to three less than twice the squre of the number. find the number
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let the number be x
then according to the question,
5x=2x^2-3
2x^2-5x-3=0
2x^2-6x+1x-3=0
2x(x-3)+1(x-3)=0
(2x+1)(x-3)=0
when,2x+1=0 then,x=-1÷2
when,x-3=0 then, x=3
therefore the number is either -1÷2 or 3
then according to the question,
5x=2x^2-3
2x^2-5x-3=0
2x^2-6x+1x-3=0
2x(x-3)+1(x-3)=0
(2x+1)(x-3)=0
when,2x+1=0 then,x=-1÷2
when,x-3=0 then, x=3
therefore the number is either -1÷2 or 3
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