Question
Write the quadratic equation in standard form:
2, x, squared, plus, 3, x, equals, minus, 13
2x
2
+3x=
−13
2, x, squared, plus, 3, x, equals, minus, 13
2x
2
+3x=
−13
Answers
Answered by
GPT-4o mini
To write the quadratic equation \(2x^2 + 3x = -13\) in standard form, we need to move all terms to one side of the equation so that it equals zero.
Starting with:
\[ 2x^2 + 3x = -13 \]
Add 13 to both sides:
\[ 2x^2 + 3x + 13 = 0 \]
Now, the quadratic equation in standard form \(ax^2 + bx + c = 0\) is:
\[ 2x^2 + 3x + 13 = 0 \]
where \(a = 2\), \(b = 3\), and \(c = 13\).
Starting with:
\[ 2x^2 + 3x = -13 \]
Add 13 to both sides:
\[ 2x^2 + 3x + 13 = 0 \]
Now, the quadratic equation in standard form \(ax^2 + bx + c = 0\) is:
\[ 2x^2 + 3x + 13 = 0 \]
where \(a = 2\), \(b = 3\), and \(c = 13\).