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Question
Solve the following quadratic equation using formula method only :
`2x + 5 sqrt 3x +6= 0 `
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Solution
`2x + 5 sqrt 3x +6= 0 `
a = 2 ; b = `5 sqrt 3` ; c = 6
D = b2 - 4ac
D = `(5 sqrt 3)^2 - 4(2)(6)`
= 75 - 48
= 27
x = `(- "b" ± sqrt ("b"^2 - 4 "ac"))/(2a)`
x = `(-(5 sqrt 3) +- 3 sqrt 3)/4`
x = `(-(5 sqrt 3) + 3 sqrt 3)/4` , x = `(-(5 sqrt 3) - 3 sqrt 3)/4`
x = `(-2 sqrt 3)/4` , x = `(- 8 sqrt 3)/4`
x = `- sqrt 3/2` , x = `- 2 sqrt 3`
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