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Question

Find the value of p in the equation 2x2+3xp=0 if the roots are real and equal.

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Solution

Given quadratic equation 2x2+3xp=0......(i)
where a=2,b=3,c=p
If the roots of the equation are equal then the descriminant D=0
b24ac=0
324×2×(p)=0
9+8p=0
8p=9
p=98

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