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

Question

ludmilkaskok [199]

2 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] · Answer 1 · 2022-03-19T11:49:12+03:00

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] · Answer 2 · 2022-03-19T13:52:27+03:00

svp [43]2 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.