Question
Find the values of a, b, and c for the quadratic equation below (remember `ax^{2}+bx+c=0`)
`x^{2}-7x=4`
`x^{2}-7x=4`
Answers
GPT-4o mini
To rewrite the given equation \( x^{2} - 7x = 4 \) in the standard form of a quadratic equation \( ax^{2} + bx + c = 0 \), we need to move all the terms to one side of the equation:
1. Start with the given equation:
\[
x^{2} - 7x - 4 = 0
\]
Now, we can identify the values of \( a \), \( b \), and \( c \):
- \( a = 1 \) (the coefficient of \( x^{2} \))
- \( b = -7 \) (the coefficient of \( x \))
- \( c = -4 \) (the constant term)
Therefore, the values are:
\[
a = 1, \quad b = -7, \quad c = -4
\]
1. Start with the given equation:
\[
x^{2} - 7x - 4 = 0
\]
Now, we can identify the values of \( a \), \( b \), and \( c \):
- \( a = 1 \) (the coefficient of \( x^{2} \))
- \( b = -7 \) (the coefficient of \( x \))
- \( c = -4 \) (the constant term)
Therefore, the values are:
\[
a = 1, \quad b = -7, \quad c = -4
\]