Question
Write the quadratic equation in standard form:
4, x, squared, minus, 9, x, minus, 8, equals, minus, 4, x
4x
2
−9x−8=
−4x
4, x, squared, minus, 9, x, minus, 8, equals, minus, 4, x
4x
2
−9x−8=
−4x
Answers
Answered by
GPT-4o mini
To write the given equation \( 4x^2 - 9x - 8 = -4x \) in standard form, we first need to move all terms to one side of the equation. We can do this by adding \( 4x \) to both sides.
Starting with the equation:
\[
4x^2 - 9x - 8 = -4x
\]
Add \( 4x \) to both sides:
\[
4x^2 - 9x - 8 + 4x = 0
\]
This simplifies to:
\[
4x^2 - 5x - 8 = 0
\]
Now, the quadratic equation in standard form \( ax^2 + bx + c = 0 \) is:
\[
4x^2 - 5x - 8 = 0
\]
Where:
- \( a = 4 \)
- \( b = -5 \)
- \( c = -8 \)
Starting with the equation:
\[
4x^2 - 9x - 8 = -4x
\]
Add \( 4x \) to both sides:
\[
4x^2 - 9x - 8 + 4x = 0
\]
This simplifies to:
\[
4x^2 - 5x - 8 = 0
\]
Now, the quadratic equation in standard form \( ax^2 + bx + c = 0 \) is:
\[
4x^2 - 5x - 8 = 0
\]
Where:
- \( a = 4 \)
- \( b = -5 \)
- \( c = -8 \)