The given equation is [tex]\( 9x^2 - x + 9 = 0 \)[/tex].
This equation is a quadratic equation in the standard form [tex]\( ax^2 + bx + c = 0 \)[/tex].
To identify the coefficient [tex]\( b \)[/tex], let's match the given equation with the standard form:
1. Identify the coefficient of [tex]\( x^2 \)[/tex]:
- In the given equation [tex]\( 9x^2 - x + 9 = 0 \)[/tex], the coefficient of [tex]\( x^2 \)[/tex] is 9. So, [tex]\( a = 9 \)[/tex].
2. Identify the coefficient of [tex]\( x \)[/tex]:
- In the given equation [tex]\( 9x^2 - x + 9 = 0 \)[/tex], the coefficient of [tex]\( x \)[/tex] is -1. So, [tex]\( b = -1 \)[/tex].
3. Identify the constant term (the coefficient of [tex]\( x^0 \)[/tex]):
- In the given equation [tex]\( 9x^2 - x + 9 = 0 \)[/tex], the constant term is 9. So, [tex]\( c = 9 \)[/tex].
Therefore, the coefficient [tex]\( b \)[/tex] in the equation [tex]\( 9x^2 - x + 9 = 0 \)[/tex] is [tex]\( -1 \)[/tex].
So, [tex]\( b = -1 \)[/tex].