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## Homework Statement

4. If x1, x2 are two real number roots of real number coefficient quadratic equation:

$$x^2 -2mx + m + 2 =0$$

Solve the following questions:

(1) What are the values of m so that x1=x2?

(2) What are the value(s) so that $$(x1)^2 + (x2)^2 $$

has minimum value? What is the minimum?

## Homework Equations

## The Attempt at a Solution

I substituted x1 into the quadratic for x and then substituted x2 into the quadratic for x and set them = to each other. I then solved for m and got

m= (x1 + x2)/2

I'm not sure what the 2nd question means. Can anyone help?

Thanks