Find two numbers whose difference is 180 and whose product is a minimum

Let the numbers are x and y

And it is given that the difference is 180

So we have

And let the product is p. So we have

Substituting the value of x , we will get

Differentiating p,

Again differentiating ,

SO we will get minimum.

And to find the minimum, we have to set p' equal to 0 and solve for y.

Back substituting the value of y, we will get

So the numbers are 90 and -90 .

he will have 300 because he is really broke and 300 is in his imangine

step-by-step explanation: he ehe heh step by the thy