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:
25 units
Step-by-step explanation:
use the distance formula to get the square root of 24² + 7²
this will give you the square root of 625, which is 25
i say C. -5, -2, 1, 4, 7 is your answer for question 1.
and for question 2 i think is E. -6, -4, -2, 0, 2.
Answer:
AREA = 4,850
Step-by-step explanation:
split into two pieces
formula for triangles- base x height divided by 2
20 x 50 = 100 / 2 = 50
(130 - 50 = 80)
80 x 120 = 9,600 / 2 = 4,800
add...
4,800 + 50 = 4,850
Answer:
the answer is actually $389.71
Step-by-step explanation: