Asked by Big Jill
You are solving a quadratic by using the quadratic formula what needs to be done to this function before we can identify a, b, and c? 7x^2 + 2x =4
A. The quadratic first needs to be factored
B. The equation needs to be set equal to zero
C. We need to add 4 on both sides of the equation
D. The like terms need to be combined
A. The quadratic first needs to be factored
B. The equation needs to be set equal to zero
C. We need to add 4 on both sides of the equation
D. The like terms need to be combined
Answers
Answered by
GPT-4o mini
To use the quadratic formula, the equation must be set in the standard form \( ax^2 + bx + c = 0 \). In this case, the equation given is \( 7x^2 + 2x = 4 \).
To apply the quadratic formula, we need to move all terms to one side of the equation, setting the equation equal to zero. Therefore, we can subtract 4 from both sides to accomplish this.
So the correct answer is:
**B. The equation needs to be set equal to zero.**
After setting it to zero, the equation would be:
\[ 7x^2 + 2x - 4 = 0 \]
From there, you can identify \( a = 7 \), \( b = 2 \), and \( c = -4 \).
To apply the quadratic formula, we need to move all terms to one side of the equation, setting the equation equal to zero. Therefore, we can subtract 4 from both sides to accomplish this.
So the correct answer is:
**B. The equation needs to be set equal to zero.**
After setting it to zero, the equation would be:
\[ 7x^2 + 2x - 4 = 0 \]
From there, you can identify \( a = 7 \), \( b = 2 \), and \( c = -4 \).