Question
Write the quadratic equation in standard form:
x^2 - 6x + 2 = -3
x^2 - 6x + 2 = -3
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. Starting with your equation:
\[ x^2 - 6x + 2 = -3 \]
First, we will add 3 to both sides to bring all terms to the left side:
\[ x^2 - 6x + 2 + 3 = 0 \]
This simplifies to:
\[ x^2 - 6x + 5 = 0 \]
Now, the equation is in standard form, which is:
\[ ax^2 + bx + c = 0 \]
where \( a = 1 \), \( b = -6 \), and \( c = 5 \).
So the standard form of the quadratic equation is:
\[ x^2 - 6x + 5 = 0 \]
\[ x^2 - 6x + 2 = -3 \]
First, we will add 3 to both sides to bring all terms to the left side:
\[ x^2 - 6x + 2 + 3 = 0 \]
This simplifies to:
\[ x^2 - 6x + 5 = 0 \]
Now, the equation is in standard form, which is:
\[ ax^2 + bx + c = 0 \]
where \( a = 1 \), \( b = -6 \), and \( c = 5 \).
So the standard form of the quadratic equation is:
\[ x^2 - 6x + 5 = 0 \]
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