Answer: x = ¹/₂ ± √⁸¹
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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
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2
Answer:
8 units = L
Step-by-step explanation:
The area of a rectangle is the product of length and width.
A = L*W
If A = 56 units^2 and W = 7 units, then L = (56 units^2) / (7 units) = 8 units = L
Answer:
1024
Step-by-step explanation:
so first you would do 2^10 and 2^20
2^10 = 1024
2^20 = 1048576
then you would just divide 1048576 by 1024
1048576 / 1024 = 1024
