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Q.

The roots of the equation 3x2+55x-10=0 are [[1]] and [[2]].


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answer is 5 3, - 2 5.

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Detailed Solution

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The roots of the equation 3x2+55x-10=0 are 53 and -25.
Given quadratic equation is,
3x2+55x-10=0 Then,
3x2+55x-10=0
3x2+65x-5x-10=0
3xx+25x-5x+25=0           
(3x-5)x+25=0
3x-5=0 or x+25=0
 x=53 or x=-25
Therefore, the roots of the equation 3x2+55x-10=0 are 53 and  -25  .
 
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