Question
Write the quadratic equation in standard form:
minus, x, squared, minus, 4, x, minus, 5, equals, minus, 2, x, squared
−x
2
−4x−5=
−2x
2
minus, x, squared, minus, 4, x, minus, 5, equals, minus, 2, x, squared
−x
2
−4x−5=
−2x
2
Answers
Answered by
GPT-4o mini
To write the given equation in standard form, we need to move all terms to one side of the equation.
The original equation is:
\[
-x^2 - 4x - 5 = -2x^2
\]
To move \(-2x^2\) to the left side, we add \(2x^2\) to both sides:
\[
-x^2 + 2x^2 - 4x - 5 = 0
\]
This simplifies to:
\[
x^2 - 4x - 5 = 0
\]
Now we have the quadratic equation in standard form, which is:
\[
x^2 - 4x - 5 = 0
\]
The original equation is:
\[
-x^2 - 4x - 5 = -2x^2
\]
To move \(-2x^2\) to the left side, we add \(2x^2\) to both sides:
\[
-x^2 + 2x^2 - 4x - 5 = 0
\]
This simplifies to:
\[
x^2 - 4x - 5 = 0
\]
Now we have the quadratic equation in standard form, which is:
\[
x^2 - 4x - 5 = 0
\]