Completing the square is a process to find the solutions, or the x-values, to a quadratic equation. This method can only work if it is in the format: x^2 + bx = c
In this equation, the b value is -12 and the c value is -6. The process for completing the square goes like this:
x^2 + bx + (b/2)^2 = c + (b/2)^2
Now let’s solve the equation above using this method.
Step 1: x^2 - 12x + (-12/2)^2 = -6 + (-12/2)^2
Step 2: x^2 - 12x + (-6)^2 = -6 + (-6)^2
Step 3: x^2 - 12x + 36 = -6 + 36
Step 4: x^2 - 12x + 36 = 30
Now, to factor it. After doing the process until now, the left side of the equation can ALWAYS be in the format: (x + a)^2
Step 5: x^2 - 12x + 36 can be factored in this format as (x - 6)^2
Step 6: (x - 6)^2 = 30
Step 7: x - 6 = √30
Step 8: x = 6 ±√30
The square root of Pi is approximately 1.77245.
8.75 + 0.50 =9.25 dollars spend but she has 16 dollars so 16 - 9.25 = 6.75 dollars left
Answer:
Total surface area of the prism =145.32 Square centimeters
Step-by-step explanation:
The given figure is a rectangular prism with the given dimensions of :
length(L)= 10.3 cm
Width(W)=2.2 cm
Height(H)=4 cm
Total surface area of the rectangular prism is:
Total surface area of the prism is 145.32 Square centimeters
-2(2x-1)(x+3) = ((-2)2x - (-2)(-1))(x+3) = (-4x-2)(x+3)
