1.

The value of p for which the equation 8x^2 + 9px + 15 has equal roots is \(\frac {4\sqrt {30}}{9}\).(a) True(b) FalseI had been asked this question by my school teacher while I was bunking the class.Query is from Quadratic Equation topic in chapter Quadratic Equation of Mathematics – Class 10

Answer»

The CORRECT option is (a) True

The best explanation: Roots are equal.∴ b^2 – 4ac = 0

(9p)^2 – 4(8)(15) = 0

81p^2 – 480 = 0

81p^2 = 480

p = ± \(\sqrt {\frac {480}{81}}\) = ± \(\frac {4\sqrt {30}}{9}\)



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