Question 8 [10 points] Find conditions on k that will make the following system

Question

Question 8 [10 points] Find conditions on k that will make the following system of equations have a unique solution. To enter your answer, first select whether k should be equal or not equal to specific values, then enter a value or a list of values separated by commas. Then give a formula in terms of k for the solution to the system, when it exists. Be sure to include parentheses where necessary, e.g. to distinguish 1/(2k) from 1/2k. 75xtky 3 The system has a unique solution when k = The unique solution is 0

Explanation / Answer

the system has a unique solution when

3k^2 - 75 !=0

=>

k^2 -25 !=0

=>
the system has a unique solution when k ! = -5, 5

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