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# Quadratic equations : The quadratic equation px² – 2 px + 15 = 0 has two equal roots, then find the value of p.

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The quadratic equation px² – 2$sqrt{5}$ px + 15 = 0 has two equal roots, then find the value of p.

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1. 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.

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