Answer:
k = 1
Step-by-step explanation:
<u>Discriminant</u>
As we need to determine the value of k that will give <u>one solution</u>, set the <u>discriminant to zero</u>.
<u>Given equation</u>:
Therefore:
Substitute these values into the discriminant and solve for k:
Answer: the two numbers are 6 and 11.
Set up the individual equation according to the verbal statements:
<em>A positive number is 5 less than another positive number:</em>
a = b - 5 (this also implies that a<b)
<em>Six times the lesser number minus 3 times the greater number is 3. </em>
<em>Find the two positive numbers.</em>
This is a system of linear equations - solve for a and b:
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