To solve the quadratic equation [tex]\(x^2 - 8x - 9 = 0\)[/tex], we need to rewrite it in the form [tex]\(x^2 + bx = c\)[/tex].
Here's a step-by-step solution:
1. Start with the given equation:
[tex]\[
x^2 - 8x - 9 = 0
\][/tex]
2. Move the constant term to the right side of the equation. This isolates the terms involving [tex]\(x\)[/tex] on the left side:
[tex]\[
x^2 - 8x = 9
\][/tex]
In this form, you can see that [tex]\(b = -8\)[/tex] and [tex]\(c = 9\)[/tex],
Therefore, the equation in the form [tex]\(x^2 + bx = c\)[/tex] is:
[tex]\[
x^2 + (-8)x = 9
\][/tex]
So, the final rewritten form is:
[tex]\[
x^2 + \boxed{-8}x = \boxed{9}
\][/tex]
