Question

one number is 10 more than another number.Form a quadratic function that will allow you to find the minimum product of the two numbers. find the numbers and the minimum product.

Answer 1

@jim_thompson5910

Answer 2

so far x=10+y how to make it into quadratic equation

Answer 3

@mathmale

Answer 4

@calculusxy
any idea

Answer 5

Let \(x\) be the first number. Then the second number is \(x+10\). The product of the two is \(x(x+10)=x^2+10x\).

To find the minimum of the product, you can complete the square to write this quadratic in vertex form \((x-a)^2+b\), which will be minimized when \(x=a\) since that makes the first term disappear, leaving you with \(b\).

Answer 6

o wow