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ludmilkaskok [199]
3 years ago
6

Andy is solving a quadratic equation using completing the square. If a step in the process results in 169/9 = (x – 6)2, could th

e original quadratic equation be solved by factoring? Explain your reasoning.
Mathematics
2 answers:
natta225 [31]3 years ago
8 0
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 also a rational number. If the solutions of a quadratic equation are rational then the equation is factorable. Please mark a good rating and brainlest
svp [43]3 years ago
3 0

Both169 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.

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