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Solve [tex]\( x^2 - 8x - 9 = 0 \)[/tex].

Rewrite the equation in the form [tex]\( x^2 + bx = c \)[/tex].

[tex]\[ x^2 + \square x = \square \][/tex]

Sagot :

GinnyAnswer
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]
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