Answer:
α² +β² = 3 4/9
Step-by-step explanation:
Assuming α and β are solutions to the equation, it can be factored as ...
(x -α)(x -β) = 0
Expanding this, we get ...
x² -(α +β)x +αβ = 0
Dividing the original equation by 3, we find ...
x² +(1/3)x -5/3 ≡ x² -(α+β)x +αβ ⇒ (α+β) = -1/3, αβ = -5/3
We know that the square (α+β)² can be expanded to ...
(α +β)² = α² +β² +2αβ
α² +β² = (α +β)² -2αβ . . . . . . subtract 2αβ
Substituting the values for (α+β) and αβ, we find the desired expression is ...
α² +β² = (-1/3)² -2(-5/3) = 1/9 +10/3 = 31/9
α² +β² = 3 4/9
Answer:
Step-by-step explanation:
well, by using definition of tan of an angle
let the distance between Earth and shooting star is 
.
since 
,
then 
Answer:
501590018 steps
Step-by-step explanation:
To find this high numbered problem all you have to do is add the steps in total. You would add 273626256 and 227963762 to get 501590018
Answer:
-30
Step-by-step explanation:
2*5 is 10
10*-3 is -30
Answer:
x = 17.82
Step-by-step explanation:
6x + 8% = 107
-8% -8%
or
107 - 0.08 = 106.92
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6x = 106.92
÷6 ÷6
x = 17.82
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I hope this helps!
