Problema Solution

a number is multiplied by half of it.15 is added to the product.the sum is .find the number

Answer provided by our tutors

 

suppose the number to be x

multiply it with x/2 and then add 15

we'll have

 

x*x/2 +15 =sum(you did not give e.g. it is 23)

x2/2 +15=23

x2/2=8

x2=16

x2 -16 = 0

factoring x2 -16 we'll have (x-4)(x+4)

(x-4)(x+4)=0

now x can be both 4 and -4