Answer: x = ¹/₂ ± √⁸¹
------------
2
Step-by-step explanation:
First write out the equation
x² - x - 20
Now we now write the equation by equating to 0
x² - x - 20 = 0
We now move 20 to the other side of the equation. So
x² - x = 20,
We now add to both side of the equation square of the half the coefficient of the (x) and not (x²) which is (1) . So, the equation now becomes
x² - x + ( ¹/₂ )² = 20 + ( ¹/₂ )²
x² - ( ¹/₂ )² = 20 + ¹/₄
( x - ¹/₂ )² = 20 + ¹/₄, we now resolve the right hand side expression into fraction
( x - ¹/₂ )² = ⁸¹/₄ when the LCM is made 4
Taking the square root of both side to remove the square,we now have
x - ¹/₂ = √⁸¹/₄
x - ¹/₂ = √⁸¹/₂
Therefore,
x = ¹/₂ ± √⁸¹
-----------
2
Your answer would be 3.4
Anything under 5 it stays the same and anything over 5 it goes up one
Answer:
20%
Step-by-step explanation:
12/15 = .8
subtract from 1
gives you .2
convert to a percentage
.2 = 20%
Mark: 52 meatball sandwiches
Julie: 64 meatball sandwiches
- 30m^2 - 10m + 30
distribute your negative 10, you will first get 30m, then - 30m^2.
next distribute the negative 5, you will get - 40m, then 30.
combine like terms, and make sure its in standard form, - 30m^2 - 10m + 30