Question

Solve x2 - 8x - 9 = 0.

Answer 1

2x-8x-9=0
-6x-9=0
-6x-9=9
X=-3/2
There u go

Answer 2

Answer:  The required solution of the given equation is x = 9, -1 and rewritten equation is $x^2+(-8)x=9.$

Step-by-step explanation:  We are given to solve and rewrite the following quadratic equation so that it is in the form x² + bx = c :

$x^2-8x-9=0~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

To write the given quadratic equation in the required form, we need to take the constant term on the right-hand side of the equation.

From equation (i), we get

$x^2-8x-9=0\\\\\Rightarrow x^2-8x=9\\\\\Rightarrow x^2-8x+16=9+16\\\\\Rightarrow (x-4)^2=25\\\\\Rightarrow x-4=\pm 5\\\\\Rightarrow x=4\pm5\\\\\Rightarrow x=4+5,~~4-5\\\\\Rightarrow x=9,~-1.$

Thus, the required solution of the given equation is x = 9, -1 and rewritten equation is $x^2+(-8)x=9.$