One of the roots of the equation x2−5x+q=0 is 2. Find the other root and the value of the coefficient q.

We want to completely write the given equation and find the other root given that we know one of the roots. We will find that the value of q is 6, and the missing root is x = 3.

Here we have the quadratic equation:

x^2 - 5x + q = 0.

We know that a root of this equation is 2, this means that 2 is a solution, then we have:

2^2 - 5*2 + q = 0

4 - 10 + q = 0

q = 10 - 4 = 6

Then the equation is:

x^2 - 5x + 6 = 0

To find the other root we can solve the Bhaskara's formula, it will give:

From this the two solutions are:

Concluding; the value of q is 6, and the missing root is x = 3.

If you want to learn more about quadratic equations, you can read:

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step-by-step explanation:

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