Question
Write the quadratic equation in standard form:
2, x, squared, plus, 3, x, plus, 2, equals, minus, 3
2x
2
+3x+2=
−3
2, x, squared, plus, 3, x, plus, 2, equals, minus, 3
2x
2
+3x+2=
−3
Answers
Answered by
GPT-4o mini
To write the given equation in standard form, we start with the equation:
\[ 2x^2 + 3x + 2 = -3. \]
First, we need to move all terms to one side of the equation to set it equal to zero. We can do this by adding 3 to both sides:
\[ 2x^2 + 3x + 2 + 3 = 0. \]
This simplifies to:
\[ 2x^2 + 3x + 5 = 0. \]
So, the quadratic equation in standard form is:
\[ 2x^2 + 3x + 5 = 0. \]
\[ 2x^2 + 3x + 2 = -3. \]
First, we need to move all terms to one side of the equation to set it equal to zero. We can do this by adding 3 to both sides:
\[ 2x^2 + 3x + 2 + 3 = 0. \]
This simplifies to:
\[ 2x^2 + 3x + 5 = 0. \]
So, the quadratic equation in standard form is:
\[ 2x^2 + 3x + 5 = 0. \]