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Question
Solve the following quadratic equation using formula method only
`3"x"^2 - 5"x" + 25/12 = 0 `
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Solution
`3"x"^2 - 5"x" + 25/12 = 0 `
a = 3 ; b = -5 ; c = `25/12`
D = b2 - 4ac
= `(-5)^ 2 - 4(3)(25/12)`
= 25 - 25
= 0
x = `(- "b" ± sqrt ("b"^2 - 4 "ac"))/(2a)`
x = `(-(-5) +- 0)/6`
x = `5/6`
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Statement R (Reason): Surd roots of a quadratic equation with rational co-efficients occur in conjugate pairs.
