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One of the roots of the equation x^2-13x+q=0 is 12. Find the other root and the value of the coefficient q.

Sagot :

The other root is 1 and the value of the coefficient q is 12.

What is quadratic equation?

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:

https://brainly.com/question/17177510

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