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Question
Find the roots of the quadratic equations 2x2 – 7x + 3 = 0 by applying the quadratic formula.
Solution
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±sqrt(b2 - 4ac)/(2a)`
`⇒ x = 7±sqrt(49 - 24)/4`
`⇒ x = 7±sqrt25/4`
`⇒ x = 7±5/4`
`⇒ x = (7+5)/4 `
`⇒ x = 12/4 " or " 2/4`
`∴ x = 3 " or " 1/2`
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