Question
Which equation is equivalent to the given equation?
2, x, squared, equals, 28, x, minus, 80
2x
2
=28x−80
Answer
2, x, squared, minus, 28, x, plus, 80, equals, 0
2x
2
−28x+80=0
2, x, squared, plus, 28, x, plus, 80, equals, 0
2x
2
+28x+80=0
2, x, squared, minus, 28, x, minus, 80, equals, 0
2x
2
−28x−80=0
2, x, squared, plus, 28, x, minus, 80, equals, 0
2x
2
+28x−80=0
2, x, squared, equals, 28, x, minus, 80
2x
2
=28x−80
Answer
2, x, squared, minus, 28, x, plus, 80, equals, 0
2x
2
−28x+80=0
2, x, squared, plus, 28, x, plus, 80, equals, 0
2x
2
+28x+80=0
2, x, squared, minus, 28, x, minus, 80, equals, 0
2x
2
−28x−80=0
2, x, squared, plus, 28, x, minus, 80, equals, 0
2x
2
+28x−80=0
Answers
GPT-4o mini
To find an equation equivalent to \( 2x^2 = 28x - 80 \), we can rearrange it to standard form.
Starting from the given equation:
\[
2x^2 = 28x - 80
\]
We can move all the terms to one side of the equation:
\[
2x^2 - 28x + 80 = 0
\]
Thus, the equivalent equation is:
\[
2x^2 - 28x + 80 = 0
\]
So the correct answer is:
\[
2x^2 - 28x + 80 = 0
\]
Starting from the given equation:
\[
2x^2 = 28x - 80
\]
We can move all the terms to one side of the equation:
\[
2x^2 - 28x + 80 = 0
\]
Thus, the equivalent equation is:
\[
2x^2 - 28x + 80 = 0
\]
So the correct answer is:
\[
2x^2 - 28x + 80 = 0
\]