For what real numbers x is x2

10x + 25 negative?

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.

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step-by-step explanation: