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in Quadratic Equations by (46.2k points)
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The roots of the equation 2x2 - 11x + 15 = 0 are :

(a) \(3,\frac52\) 

(b) \(5,\frac32\)

(c) \(-3,-\frac52\)

(d) None of these

1 Answer

+1 vote
by (49.2k points)
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Best answer

(a)  3, \(\frac52\).

2x2 - 11x + 15 = 0

⇒ 2x2 - 6x - 5x + 15 = 0

⇒ 2x (x - 3) - 5(x - 3) = 0

⇒ (x - 3)(2x - 5) = 0

⇒ x - 3 = 0 or 2x - 5 = 0 

⇒ x = 3, \(\frac52\).

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