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:
Is your teacher trying to confuse us or what?
Step-by-step explanation:
well 3/3 is full so it's just like 12/12, so 12 pieces of 1/12 piece are in 3/3
Answer:
x = 3/2
Step-by-step explanation:
Let's solve your equation step-by-step.
(3)(1)+2x=6
Step 1: Simplify both sides of the equation.
(3)(1)+2x=6
3+2x=6
2x+3=6
Step 2: Subtract 3 from both sides.
2x+3−3=6−3
2x=3
Step 3: Divide both sides by 2.
2x/2 3/2
x = 3/2
Hope this helps :)
Answer:
70
Step-by-step explanation:
First, set up the ratio of c:t, which is 12:8. Then set up your new ratio of c:t, which is 105:?. The way I find the easiest is to divide 105 by 12, which is 8.75, then multiply that by 8, which is 70. To check if it's right, just divide 12 by 8, and 105 by 70, and if they're the same number, you've got it right.
Ps. I'm guessing you meant to ask the minimum number of trucks, not cars.
