Answer:
NO REAL VALUE of x will make the function x²-10x+25 to be negative
Step-by-step explanation:
For the function x²-10x+25 to be negative, it means the function must be less than 0.
We are to find the value of x for x²-10x+25<0
Factorizing the function given;
x²-10x+25 <0
x²-5x-5x+25 <0
x(x-5)-5(x-5)<0
(x-5)(x-5)<0
(x-5)²<0
It can be seen that the expression (x-5)² is a perfect square which will always return a positive value no matter the value of x, this means that there is no value of x that will make the function x²-10x+25 to be negative rather they will always return a positive number.
