SOLUTION: Dear Sir/Madam, Kindly help me in finding the value of k so that the equation 2x^2+(4-k)x-17=0, roots numerically equal but opposite in sign. Thank you for your help!

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Dear Sir/Madam, Kindly help me in finding the value of k so that the equation 2x^2+(4-k)x-17=0, roots numerically equal but opposite in sign. Thank you for your help!       Log On


   

Question 767699: Dear Sir/Madam,
Kindly help me in finding the value of k so that the equation 2x^2+(4-k)x-17=0, roots numerically equal but opposite in sign.
Thank you for your help!
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
2x%5E2+%2B+%284-k%29x+-+17+=+0
for this to be true, (4-k) = 0
therefore k = 4, leaving an equation of
2x^2 - 17 = 0
2x^2 = 17
x^2 = 17/2
x = +/-sqrt%288.5%29
x

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