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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
`"x"^2 - 3/2 "x" - 1/16 = 0`
a = 1 ; b = `-3/2` ; c =`- 1/16`
D = b2 - 4ac
`= (- 3/2)^2 - 4(1)(-1/16)`
`= 9/4 + 1/4`
`= 10/4`
x = `(- "b" ± sqrt ("b"^2 - 4 "ac"))/(2a)`
x = `(- (- 3/2) ± sqrt (10/4))/(2 xx 1)`
x = `(3 + sqrt 10)/4` , x = `(3 - sqrt(10))/4`
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