Math, asked by pimplejui37, 5 hours ago

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Answered by sakshichaudhari0300
2

Answer:

1) -\sqrt{3} and -2\sqrt{3}

2) 2\sqrt{3} and -5\sqrt{3}

Step-by-step explanation:

Using discriminant method:

a = 1, b = 3\sqrt{3}, c = 6

first we calculate the discriminant:  

b^{2} - 4ac = 3\sqrt{3} ^{2} - 4*1*6

             = 27 - 24

             = 3

\sqrt{b^{2} -4ac } = \sqrt{3}

Roots of the equation are:

root1 =  \frac{-b + \sqrt{b^{2} -4ac }}{2a}  and root2 = \frac{-b - \sqrt{b^{2} -4ac }}{2a}

root 1 = \frac{-3\sqrt{3} + \sqrt{3} }{2}      and root2 = \frac{-3\sqrt{3} - \sqrt{3} }{2}

root1 = -\sqrt{3}             and root2 = -2\sqrt{3}

Similarly for 2) taking a = 1, b = 3\sqrt{3} and c = -30

root1 = 2\sqrt{3}             and root2 = -5\sqrt{3}

hope this helps!!

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