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

asked Mar 17, 2023 108k views

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9 votes

Answer:

Other root:
x=3

q=6

Explanation:

If
x=2 , then
x-2=0 .

Therefore:

x^2-5x+q=0

2^2-5(2)+q=0

4-10+q=0

-6+q=0

q=6

This means that the other root is
x=3 since
(x-2)(x-3)=x^2-5x+6

Sumner Evans answered Mar 23, 2023

4.2k points

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