Answer:
x = -1 and x = 5
Step-by-step explanation:
<em>What are the solutions of the equation (x – 3)² + 2(x – 3) -8 = 0? Use u substitution to solve.</em>
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(x – 3)² + 2(x – 3) -8 = 0 -------------------------------------------------------(1)
To solve this problem, we will follow the steps below;
let u = x-3
we will replace x-3 by u in the given equation:
(x – 3)² + 2(x – 3) -8 = 0
u² + 2u -8 = 0 ----------------------------------------------------------- --------------(2)
We will now solve the above quadratic equation
find two numbers such that its product gives -8 and its sum gives 2
The two numbers are 4 and -2
That is; 4×-2 = -8 and 4+(-2) = 2
we will replace 2u by (4u -2u) in equation (2)
u² + 2u -8 = 0
u² + 4u - 2u -8 = 0
u(u+4) -2(u+4) = 0
(u+4)(u-2) = 0
Either u + 4 = 0
u = -4
or
u-2 = 0
u = 2
Either u = -4 or u = 2
But u = x-3
x = u +3
when u = -4
x = u + 3
x = -4 + 3
x=-1
when u = 2
x = u + 3
x = 2 + 3
x=5
Therefore, x = -1 and x =5
x
The area of any triangle = (1/2) x (length of the base) x (height)
2.5 centimeters = 0.025 meter
The area of the sail is (3.75) = (0.5) x (0.025) x (height)
Multiply each side by 2 : (7.5) = (0.025) x (height)
Divide each side by 0.025 : (7.5)/(0.025) = height =<em> 300 meters</em>
The situation is stupid, but the math is bullet-proof.
Answer:
one solution
Step-by-step explanation:
X-9=0
Add 9 to each side
X-9+9=0+9
x = 9
There is one solution
Equation: w² + 12w + 36
= w² + 6w + 6w + 36
= w(w + 6) 6(w + 6)
= (w + 6)(w + 6)
= (w + 6)²
In short, Your Answer would be: Option D
Hope this helps!
