The other root is 1 and the value of the coefficient q is 12.
A quadratic equation is a second-order polynomial equation in a single variable x. ax²+bx+c=0. with a ≠ 0 .
Given:
x²-13x+q=0
when x= 12
So, 12²-13*12+q=0
144-156+q=0
-12+q=0
q=12
Now, x²-13x+12=0
x²-12x-x+12=0
x(x-12) - 1(x-12)=0
(x-1)(x-12)=0
x=1, 12
Learn more about quadratic equation here:
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