Question

determine two consecutive multiple of 3 whose product is 270. (quadratic equation )

Answer 1

Hey there!

Let the two multiples be x, x +3
[ they are consecutive multiples, consecutive multiples of n differ by n ]

So

x(x+3)=270

x²+3x-270=0

x²+18x-15x-270=0

x(x+18)-15(x+18)=0

(x-15)(x+18)=0

x=15
considering numbers are positive

There fore numbers are 15,15+3=15,18

hope helped !