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Answer the questions about this quadratic equation shown below.

(x−3)/2power of 5=20


(3 points)
What should be the first step when solving the quadratic equation above?
Add 3 to both sides of the equation.

Which of the following is one of the solutions to the quadratic equation above?

Which of the following is the other solution to the quadratic equation above?

1 answer

To solve the equation \((x - 3) / 2^5 = 20\), let's break it down step by step.

  1. First Step: The first step in solving the equation is to eliminate the fraction by multiplying both sides by \(2^5\) (which is 32): \[ x - 3 = 20 \cdot 32 \]

    The calculation gives: \[ x - 3 = 640 \]

  2. Solve for \(x\): Now, add 3 to both sides: \[ x = 640 + 3 \] \[ x = 643 \]

At this point, since the original equation does not appear to lead to a quadratic expression but a linear one, we can conclude that \(643\) is the only solution for this equation.

If you were looking for solutions to a quadratic equation specifically, please provide the correct quadratic equation to analyze. But with the current equation given:

  • One solution is \(x = 643\).
  • There wouldn't be another solution unless the problem was meant to be quadratic.

If the equation were set up differently or intended to be quadratic, please let me know!