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 △=b2−4ac,△=m2−4(1)(4),△=m2−16 If roots are equal, then △=0 ∴m2−16=0,m2=16,m=±√16∴m=4