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Question
Solve the following quadratic equation using formula method only
3x2 + 12 = 32 x
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Solution
3x2 + 12 = 32 x
3x2 - 32 x + 12 = 0
a = 3 ; b = -32 ; c = 12
D = b2 - 4ac
= (-32)2 - 4 (3)(12)
= 1024 - 144
= 880
x =`(- "b" ± sqrt ("b"^2 - 4 "ac"))/(2a)`
x = `(32 +- sqrt 880)/6`
x = `(32 + 4 sqrt 55)/6` , x = `(32 - 4 sqrt 55)/6`
x = `(16 + 2 sqrt 55)/3` , x = `(16 - 2 sqrt 55)/3`
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