if a quadratic equation p x square - 2 under root 5 x + 15 is equal to zero has two equal roots then find the value of p
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Step-by-step explanation:
here,
a=p,
b= -2√5p,
c= 15
equal roots ⇒ b² - 4ac = 0
⇒( -2√5 p)² - 4×p×15 =0
⇒ -4×5×p² - 60p =0
⇒ -20p²- 60p =0
take 20 p outside,
⇒ 20p (p-3) = 0
⇒ 20p=0, p-3 = 0
⇒ p=0 , p=3
if we substitute p = 0 in the above equ. , the whole equ become zero.
so it is not possible to substitute p=0
∴ p = 3
value of p is 3
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