Find the roots of following equation: √3x² + 10x - 8√3 = 0
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Answer:
3 x 2 + 10 x - 8 3 = 0. Here a = 3 , b = 10 , c = - 8 3. D = b2 - 4ac = ( 10 ) 2 - 4 × 3 × ( - 8 3 ) = 100 + 96 = 196. ∵ x = D - b ± D 2 a. = - 10 ± 196 ..
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roots -
- 4√3 & 2/√3
Step-by-step explanation:
√3x² + 10x - 8√3 = 0
=> √3x² + 12x - 2x - 8√3 = 0
=> √3x(x + 4√3) -2(x + 4√3) = 0
=> (x + 4√3) (√3x - 2) = 0
root 1 -
x + 4√3 = 0
=> x = - 4√3
root 2 -
√3x - 2 = 0
=> √3x = 2
=> x = 2/√3
Hence roots of the equation -
- 4√3 & 2/√3
hope it helps.
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