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Andy is solving a quadratic equation using completing the square. If a step in the process results in = (x – 6)2, could the original quadratic equation be solved by factoring? Explain your reasoning.

Respuesta :

GutsnGlory
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. 
abidemiokin

The  original quadratic equation before factoring will be x^2 - 12x + 36

Factorization

Given the step in the process of factoring as (x-6)^2, in order to et the original quadratic equation, we will expand the given expression first as shown:

On expansion

  • = (x-6)^2
  • = x^2 - 12x + 36

Hence the  original quadratic equation before factoring will be x^2 - 12x + 36

Learn more on quadratic expression here; https://brainly.com/question/1214333

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