Question
how to isolate the variable b in standard form y=3x^2+bx+7
Answers
GPT-4o mini
To isolate the variable \( b \) in the equation given in standard form \( y = 3x^2 + bx + 7 \), you can follow these algebraic steps:
1. Start with the equation:
\[
y = 3x^2 + bx + 7
\]
2. Subtract \( 3x^2 \) and \( 7 \) from both sides to isolate the term involving \( b \):
\[
y - 3x^2 - 7 = bx
\]
3. Now, to isolate \( b \), divide both sides by \( x \) (assuming \( x \neq 0 \)):
\[
b = \frac{y - 3x^2 - 7}{x}
\]
Thus, you have isolated \( b \):
\[
b = \frac{y - 3x^2 - 7}{x}
\]
Make sure to pay attention to the condition \( x \neq 0 \) when dividing.
1. Start with the equation:
\[
y = 3x^2 + bx + 7
\]
2. Subtract \( 3x^2 \) and \( 7 \) from both sides to isolate the term involving \( b \):
\[
y - 3x^2 - 7 = bx
\]
3. Now, to isolate \( b \), divide both sides by \( x \) (assuming \( x \neq 0 \)):
\[
b = \frac{y - 3x^2 - 7}{x}
\]
Thus, you have isolated \( b \):
\[
b = \frac{y - 3x^2 - 7}{x}
\]
Make sure to pay attention to the condition \( x \neq 0 \) when dividing.