Please help, I'm really confused.
1) If x² + mx + n is a perfect square, show that m²=4n
and
2) find value of k
x² + (2k+10)x + k² + 5 = 0
Help would be much appreciated. Thanks.
Hello, lra11!
1) If is a perfect square, show that: .
If is a square, the equation has one root.
If a quadratic equation has one root, its discriminant is zero.
Hence: .
Therefore: .
2) Find value of
. .
What are the conditions for this quadratic equation?
As given, can be any number .