The quadratic equation px² – 2 px + 15 = 0 has two equal roots, then find the value of p.
Deepak BoraNewbie
Quadratic equations : The quadratic equation px² – 2 px + 15 = 0 has two equal roots, then find the value of p.
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Equation has equal roots (px²-2px+15=0)
∴ b²-4ac =0
Comparing the equation with ax²+bx+c=0
a=p, b= -2√5p & c= 15
(-2√5p)²-4(p)(15)=0
20p²-60p=0
20p(p-3)= 0
∴ p=0,
&
P=3.