How to solve the inequality
1 answer:
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(1) Answer :
Step 1:
Step 2:
In completing the square method we take coefficient of x and divide by 2 and the square it . Then add it on both sides
The coefficient of x is -6. = (-3)^2 = 9
The coefficient of y is -4. = (-2)^2 = 4
Step :
(2)
To find center and radius we write the equation in the form of
using completing the square form
Where (h,k) is the center and 'r' is the radius
In completing the square method we take coefficient of x and divide by 2 and the square it . Then add it on both sides
Here h= -3 and k=3 and so r= 4
Center is (-3,3) and radius = 4
(c) Step 1:
Step 2:
Step 3:
Step 4:
We factor out each quadratic
(x^2 + 8x + 16) = (x+4)(x+4) =
((y^2 - 6y + 9)) = (x-3)(x-3) =
Step 5 :
can be factored into
. To double-check, you can multiply the terms together again using FOIL: first, outside, inside, last.
(3x)(x) + (3x)(8) + (-1)(x) + (-1)(8)
3x² + 24x - x - 8
3x² + 23x - 8
Check.