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Question
Determine the discriminant of the following:
`3sqrt3x^2 + 10x + sqrt3 = 0`
Sum
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Solution
Given:
`3sqrt3x^2 + 10x + sqrt3 = 0`
From the equation:
a = `3sqrt3`
b = 10
c = `sqrt3`
D = b2 − 4ac
`10^2 - 4(3sqrt3) (sqrt3)`
`sqrt3 xx sqrt3 = 3`
`=> 4xx3sqrt3 xx (sqrt3)`
`sqrt3 xx sqrt3 = 3`
`=> 4xx3sqrt3 xxsqrt3`
= 4 × 3 × 3 = 36
D = 100 − 36
= 64
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