The sum of two numbers is 23 and product of two numbers is -144 then find the two numbers

Question

^{quadratic equations}

Answer 1

x + y =23

xy = -144

 

Use the first equation to find the value of y

x+y=23

y = 23-x

 

Substitute that into the second equation

xy = -144

x(23-x) = -144

23x - x² = -144

 

0 = x²-23x-144

 

Now you can use the quadratic equation to find the values of x and then the original equation to find the value of y