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:
5n + 20
Step-by-step explanation:
Original - 4000x
<span>so, after 3 years we have: </span>
<span>Original - 12000 = 18000 </span>
<span>=> Original = $30,000 </span>
Step-by-step explanation:
it's something in algebra i don't remember but basically the top number (12) has the x on the bottom which is multiplication and the bottom number (8) has addition so those tell u how ur supposed to get those numbers
so basically u need to find two numbers that add up to 8 and multiply to 12 so the factors are 6 and 2 because 6 • 2 is 12 and 6 + 2 = 8. hope this helps
Answer:
1
Step-by-step explanation:
using the rule of exponents
= 
, then
× 
× 
× 
× 
× 
[ × = 1 , × = 1 , × = 1 ]
= 1 × 1 × 1
= 1
