the value of p for which the quadratic equation 5x square-px+1=0 has real roots.
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Hi friend,
Here is your answer,
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If there are equal roots then D = 0
D = √(b²-4ac)
q(x) = px² - 5x + p
0 = √((-5)² - 4*p*p)
0 = 25 - 4p²
4p² = 25
p² = ²⁵/₄
p = ⁵/₂
p = 2.5
For p = 2.5 the equation px² - 5x + p has equal roots.
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