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

Question

liq [111]

3 years ago

12

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

inal quadratic equation be solved by factoring? Explain your reasoning.

Mathematics

2 answers:

Zarrin [17] · Answer 1 · 2022-06-18T16:31:40+03:00

<span>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. </span>

UkoKoshka [18] · Answer 2 · 2022-06-18T18:04:23+03:00

UkoKoshka [18]3 years ago

4 0

Answer:

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.