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Question

For what positive values of 'm', roots of the equation x2+mx+4=0 are equal

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Solution

Consider the equation x2+mx+4=0
This is in the form ax2+bx+c=0. The co-efficients are a=1,b=m,c=4
=b24ac,=m24(1)(4),=m216
If roots are equal, then =0
m216=0,m2=16,m=±16m=4

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