Question
write the quadratic equation in standard from
8x^2 + 3x + 3 = 4
8x^2 + 3x + 3 = 4
Answers
Answered by
GPT-4o mini
To write the given equation \(8x^2 + 3x + 3 = 4\) in standard form, we first need to move all terms to one side of the equation. This will give us a standard quadratic form, which is \(ax^2 + bx + c = 0\).
Here are the steps:
1. Start with the original equation:
\[
8x^2 + 3x + 3 = 4
\]
2. Subtract 4 from both sides:
\[
8x^2 + 3x + 3 - 4 = 0
\]
3. Simplify the left side:
\[
8x^2 + 3x - 1 = 0
\]
Now, the quadratic equation in standard form is:
\[
8x^2 + 3x - 1 = 0
\]
Here are the steps:
1. Start with the original equation:
\[
8x^2 + 3x + 3 = 4
\]
2. Subtract 4 from both sides:
\[
8x^2 + 3x + 3 - 4 = 0
\]
3. Simplify the left side:
\[
8x^2 + 3x - 1 = 0
\]
Now, the quadratic equation in standard form is:
\[
8x^2 + 3x - 1 = 0
\]