Nick and Mike were trying to solve the equation 3x2+8x+4=0 by the method of completion of squares. While trying to complete the squares, in one of the steps, Mike subtracted (76)2 whereas Nick subtracted (43)2 and both of them calculated the roots. Their teacher looked at the roots and told them that Nick’s roots are the additive inverses of Mike's roots. Do you agree with the teacher?Justify the reasons.

Nick and Mike were trying to solve the equation 3x2+8x+4=0 by the meth

1.	Nick and Mike were trying to solve the equation 3x2+8x+4=0 by the method of completion of squares. While trying to complete the squares, in one of the steps, Mike subtracted (76)2 whereas Nick subtracted (43)2 and both of them calculated the roots. Their teacher looked at the roots and told them that Nick’s roots are the additive inverses of Mike's roots. Do you agree with the teacher?Justify the reasons.
Answer» Nick and Mike were trying to solve the equation $3 x^{2} + 8 x + 4 = 0$ by the method of completion of squares. While trying to complete the squares, in one of the steps, Mike subtracted $(\frac{7}{6})^{2}$ whereas Nick subtracted $(\frac{4}{3})^{2}$ and both of them calculated the roots. Their teacher looked at the roots and told them that Nick’s roots are the additive inverses of Mike's roots. Do you agree with the teacher?Justify the reasons.

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