For what value of k the quadratic equation 2x2 + kx +5 =0 has equal roots (a) ±2√10 (b) ±4√10 (c) ±√20 (d) ±10√2
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Given ; 2x2 + kx +5 =0 has equal roots
To Find; the value of k
Solution; It is given that the quadratic equation 2x2 + kx +5 =0 has equal roots.
So for equal roots discriminant =0
comparing it with standard equation ax² + bx + c
a=2 b = k c= 5
D=0
b^2-4ac=0
k^2 -40=0
Hence k =√40
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