Question 2 (i)
Find the roots of the quadratic equations given in Q.1 above by applying the quadratic formula.
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Solution
(i)2x2−7x+3=0
On comparing this equation with ax2+bx+c=0, we get
a = 2, b = -7 and c = 3
By using quadratic formula, we get, x=−b±√b2−4ac2a ⇒x=7±√72−4×2×32×2 ⇒x=7±√254 ⇒x=7±54 ⇒x=7+54orx=7−54 ⇒x=124or24 ∴x=3or12