Question

. The sum of two numbers is 18, and the
product of these two numbers is 56.
The quadratic equation for this word
problem is:​

Answer 1

Answer:

Let the smaller number be x.

Hence the other number will be 18−x

Hence, from the given condition,

x(18−x)=56

18x−x

2

=56

∴x

2

−18x+56=0

x

2

−14x−4x+56=0

x(x−14)−4(x−14)=0

(x−4)(x−14)=0

∴x=4,14

∴ two numbers are 4,14