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Question
Solve the following quadratic equation using formula method only
`2"x"^2- 2 sqrt 6 + 3 = 0`
Solution
`2"x"^2- 2 sqrt 6 + 3 = 0`
a = 2 ; b = `- 2 sqrt 6 "x"` ; c = 3
D = b2 - 4ac
= (- 2 sqrt 6)2 - 4(2)(3)
= 12 - 24
= -12
x = `(- "b" ± sqrt ("b"^2 - 4 "ac"))/(2a)`
x = `(2 sqrt 6 +- sqrt -12)/2`
x = `(2 sqrt 6)/4`
x = `sqrt 6/2`
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