Write a pair of integers whose product is – 36 and whose sum is 15.
Answers
Answer:
Let us take the integers as x,y. Now according to the given date, we get x(y)= -36 and x+y = 15. From x+y= 15, we get x= 15-y. substitute the value of x in xy=-36, = (15-y)(y) = -35 = -y^2 +15y+35=0. Here we got a quadratic equation, Hence to find the value of y, we need to apply, y=-b±√(b^2-4ac)/2a, -y^2+15y+35=0, apply - sign on Lhs and Rhs side, we get y^2-15y-35=0. y= 15±√(225+140)/2. y= 15±√(365)/2, √365 is approximately = 19.104, Now y= (15±19.104)/2 , y= 17.052, -2.052. Now substitute y= 17.052,in x+y= 15. x+17.052= 15, Hence x= -2.052 and if we substitute y=-2.052, we get x-2.052=15, x=15+2.052, x=17.052. Hence the pair of integers are (17.052,-2.052). Remember one thing, here we will get approximate values of integers. Hope this helps you.