b) Find the value of . if the roots of the quadratic equation 2x²-6x²+k =0 are real and equal.
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The answer is k=9/2 or 4.5
step by step answer:
D= 0 when roots of the quadratic equation are real and equal.
a=2
b=-6
c=k
D=b²-4ac = 0
(-6)²-4*2*k = 0
36-8k=0
-8k = -36
k=36/8
k=9/2
or
k=4.5
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