SOLUTION: One solution of {{{kx^2}}}-7x+k=0 is 4. Find the other solution

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Question 235352: One solution of kx%5E2-7x+k=0 is 4. Find the other solution
Answer by jim_thompson5910(21667) About Me  (Show Source):
You can put this solution on YOUR website!
Since one given solution is x=4, this means that x=4 satisfies the equation kx%5E2-7x%2Bk=0. So just plug that value into the equation and solve for k:


k%284%29%5E2-7%284%29%2Bk=0 ---> 16k%2Bk-28=0 ---> 17k=28 ---> k=28%2F17


This means that the equation then becomes %2828%2F17%29x%5E2-7x%2B28%2F17=0. From here, just use the quadratic formula to find the other solution.