Question
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 equation needs to be set equal to zero.
B) The like terms need to be combined.
C) We need to add 4 on both sides of the equation.
D) The quadratic first needs to be factored.
A) The equation needs to be set equal to zero.
B) The like terms need to be combined.
C) We need to add 4 on both sides of the equation.
D) The quadratic first needs to be factored.
Answers
Answered by
GPT-4o mini
To apply the Quadratic Formula, the equation needs to be in the standard form of a quadratic equation, which is \( ax^2 + bx + c = 0 \). In this case, you start with the equation:
\[ 7x^2 + 2x = 4 \]
To get it into the correct form, you need to move all the terms to one side so that the equation is equal to zero. This means you subtract 4 from both sides:
\[ 7x^2 + 2x - 4 = 0 \]
Thus, the necessary step before identifying \( a \), \( b \), and \( c \) is:
**A) The equation needs to be set equal to zero.**
\[ 7x^2 + 2x = 4 \]
To get it into the correct form, you need to move all the terms to one side so that the equation is equal to zero. This means you subtract 4 from both sides:
\[ 7x^2 + 2x - 4 = 0 \]
Thus, the necessary step before identifying \( a \), \( b \), and \( c \) is:
**A) The equation needs to be set equal to zero.**
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