An integer is 15 more than 2 times another. If the product of the two integers is -27, then find the integers

The required integers are x=3 and y= -9

Step-by-step explanation:

Let one the integers be x and y

An integer is 15 more than 2 times another: x=15+2y

product of the two integers is -27: x*y=27

Solving both equations to find values of x and y

Putting value of x from equation 1 in equation 2

This can be solved using quadratic formula:

Putting values and finding factors

Since y is integer so, we consider only y= -9

The value of x will be:

So, the value of x is x=3

The required integers are x=3 and y= -9

practice. practice. practice.

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.