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Question
Solve the following quadratic equation using formula method only
16x2 - 24x = 1
Solution
16x2 - 24x = 1
16x2 - 24x - 1 = 0
a = 16 ; b = -24 ; c = -1
D = b2 - 4ac
= (-24)2 - 4(16)(-1)
= 576 + 64
= 640
x = `(- "b" ± sqrt ("b"^2 - 4 "ac"))/(2a)`
x = `(24 +- 8 sqrt 10)/32`
x = `(3 + sqrt 10)/4` , x = `(3 - sqrt 10)/4`
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