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Ilia_Sergeevich [38]
2 years ago
14

Andy is solving a quadratic equation using completing the square. If a step in the process results in StartFraction 169 Over 9 E

ndFraction = (x – 6)2, could the original quadratic equation be solved by factoring? Explain your reasoning.
Mathematics
2 answers:
aleksklad [387]2 years ago
6 0

Answer:

Yes, the equation can be solved by factoring. Using the given equation, take the square root of both sides. Both 169 and 9 are perfect squares, so the left side becomes plus or minus 13/3, which is rational. Six plus 13/3 is a rational number, and 6 minus 13/3 is also a rational number. If the solutions of a quadratic equation are rational, then the equation is factorable.

bagirrra123 [75]2 years ago
5 0

Answer:

Yes because both 169 and 9 are perfect squares. The square root of 169/9 is rational. Six plus 13/3 is a rational number, and 6 minus 13/3 is also a rational number. If the solutions of a quadratic equation are rational, then the equation is factorable.

Step-by-step explanation:

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The graph is missing, so i have attached it.

Answer:

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