For which positive integer values of $k$ does $kx^2+20x+k=0$ have rational solutions? Express your answers separated by commas a
nd in increasing order.
1 answer:
Answer:
-10,10
Step-by-step explanation:
The given quadratic equation is

The discriminant of this equation is given by;

where a=k, b=20, c=k
For rational solutions, the discriminant must be zero.

Simplify to get:

This implies that:


Take square root to get:



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