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Question
Solve the following quadratic equation using formula method only
`sqrt 3 "x"^2 + 10 "x" - 8 sqrt 3 = 0`
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Solution
`sqrt 3 "x"^2 + 10 "x" - 8 sqrt 3 = 0`
a = `sqrt 3` ; b = 10 ; c = `-8/sqrt 3`
D = b2 - 4ac
= `(10)^2 - 4 (sqrt 3) (-8 sqrt 3)`
= 100 + 96
= 196
x = `(- "b" ± sqrt ("b"^2 - 4 "ac"))/(2a)`
x = `(- 10 +- sqrt 196)/(2 sqrt 3)`
x = `(-10 + 14)/(2 sqrt 3)` , x = `(-10 - 14)/(2 sqrt 3)`
x = `4/(2 sqrt 3)` , x = `24/(2 sqrt 3)`
x = `2/sqrt 3` , x = `-12/ sqrt 3`
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