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
Answer:
22.6
Step-by-step explanation:
15-1 8-15
14^2 7^2
196+49
245
15.6
to find the volume you would multiply length width and height
Answer:
Jimmy has a ratio of 1:20, or 1 page:20 seconds. Carlo has a ratio of 1:30, or 1 page:30 seconds. Jimmy reads at a faster pace than Carlo, as he is able to read a page in 2/3 of the time it takes Carlo.
Step-by-step explanation:
Jimmy reads a page, on average, every 20 seconds.
5 × 60 = 300
300/15 = 20
therefore, one page every 20 seconds
1:20
Carlo reads a page, on average, every 30 seconds.
6 × 60 = 360
360/12 = 30
therefore, one page every 30 seconds
1:30
