find the value (s) of p,if the quadratic equation 3xsqure - p√3x+4=0 has real and equal roots
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Solution :
Compare given Quadratic
equation 3x²-p√3x+4=0 by
ax²+bx+c=0 , we get
a = 3 , b =- p√3 , c = 4
Discreminant (D ) =0
[ given real and equal roots ]
b² - 4ac = 0
=> (-p√3)² - 4×3×4 = 0
=> 3p² = 48
=> p² = 16
=> p = ±√16
=> p = ± 4
••••
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