a+b = -2√3 ab = -9 find a & b
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a+b = -2√3 ....(1)
ab = -9 .......(2)
from ...(1)
a = -2√3 - b
put this in ....(2)
(-2√3 - b ) (b) = -9
2√3b + b² = 9
b² + 2√3b -9 = 0
b² + 2√3b + (√3)² = 9 + (√3)²
(b + √3)² = 9 + 3 = 12
b + √3 = ±√12
b + √3 = + 2√3. or. b + √3 = -2√3
b = 2√3 - √3. or b = -2√3 - √3
b = √3(2-1). or b = -3√3
b = √3. or b = -3√3
hope this will help you
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