The sum of two numbers is 5 and their product is 25. Find a quadratic expression that has these two numbers as roots assuming that the coefficient in front of the highest power of the variable is 1.

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Step-by-step explanation:

Let a, b are two numbers.

Given:

Sum of the two numbers is 5.

And its product is 25.

We need to find the quadratic equation using given condition.

Solution:

A quadratic equation can be written as:

(1)

Substitute  and  in equation 1.

Therefore, Required quadratic expression

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