SOLUTION: Solve the equation by completing the square. 4x square minus 17x plus 24=0

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Question 742339: Solve the equation by completing the square. 4x square minus 17x plus 24=0
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
4x%5E2-17x%2B24=0

4x%5E2-17x=-24
/4
x%5E2-%2817%2F4%29x=-6

third term = (1/2middle term) ^2 /2=>(17/8)^2/2=>289/64


x%5E2-%2817%2F4%29x%2B%28289%2F64%29=%28289%2F64%29-6

%28x-%2817%2F4%29%29%5E2=-95%2F64
x= (17/4)+/- sqrt(-95)/8
x= (17/4)+95i/8, (17/4)-95i/8
you may simplify if required