Question
#19.
Find the values of a, b, and c for the quadratic equation below (remember
ax2+bx+c=0)
x2−7x=4
Find the value of:
Your answer:
Correct?
Find the values of a, b, and c for the quadratic equation below (remember
ax2+bx+c=0)
x2−7x=4
Find the value of:
Your answer:
Correct?
Answers
GPT-4o mini
To rewrite the equation \( x^2 - 7x = 4 \) in the standard form \( ax^2 + bx + c = 0 \), we need to move all the terms to one side of the equation. We can do this by subtracting 4 from both sides:
\[
x^2 - 7x - 4 = 0
\]
Now that the equation is in standard form, we can identify the values of \( a \), \( b \), and \( c \):
- \( a = 1 \) (coefficient of \( x^2 \))
- \( b = -7 \) (coefficient of \( x \))
- \( c = -4 \) (constant term)
Thus, the values are:
\[
a = 1, \quad b = -7, \quad c = -4
\]
\[
x^2 - 7x - 4 = 0
\]
Now that the equation is in standard form, we can identify the values of \( a \), \( b \), and \( c \):
- \( a = 1 \) (coefficient of \( x^2 \))
- \( b = -7 \) (coefficient of \( x \))
- \( c = -4 \) (constant term)
Thus, the values are:
\[
a = 1, \quad b = -7, \quad c = -4
\]