Determine the value of k for quadratic roots Solve

burubukuamaw

burubukuamaw

Answered question

2022-03-28

Determine the value of k for quadratic roots
Solve for k
{kx22kx+5=0}; one root exceeds the other by 3.

Answer & Explanation

Cindy Reynolds

Cindy Reynolds

Beginner2022-03-29Added 7 answers

Since one root exceeds the other by 3, we have
|x1x2|=39=|x1x2|2=(x1+x2)24x1x2
I think you can take it from here.
Also, indeed, the difference between the roots of a quadratic equation (say ax2+bx+c=0, with roots x1 and x2) is related to the discriminant, and the following holds:
|a||x1x2|=b24ac

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