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A MATH

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1. If a and b are the roots of the quadratic equation 2x^2 +ax +b =0, where b is not equal to 0, find the values of a and b.

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sum of the root = -b/a a+b=-a/2 2a+2b=-a 3a+2b=0-(1) product of root = c/a ab=b/a a^2=1 a=+/- 1// when a=1 , put into (1), 3(1)+2b=0 b= -3/2 when a= -1 , put into (1) 3(-1)=2B=0 b=3/2//

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