Answer:
Step-by-step explanation:
x^2 - 22x = 10
Next step is to complete the square on the left hand side of the equation and it would be balanced by adding the same number to the right side of the equation. It becomes
x^2 - 22x + (22/2)^2 = 10 + (22/2)^2
x^2 - 22x + (11)^2 = 10 + (11)^2
x^2 - 22x + (11)^2 = 10 + 121
x^2 - 22x + (11)^2 = 131
x^2 - 22x + 121^2 = 131
(x - 11)^2 = 131
Taking square root of both the left hand side and the right hand side of the equation, it becomes
x - 11 = ±√131
x - 11 = ±11.45
Adding 11 to the left hand side and the right hand side of the equation, it becomes
x - 11 + 11 = ±11.45 + 11
x = 11.45 + 11 or x = -11.45 + 11
x = 22.45 or x = - 0.45
The number of times planet B can fit into planet A is; 1.15× 10⁷ times.
<h3>Volume divisions</h3>
According to the question;
- The volume of planet A is given to be approximately 1.5 x 10¹⁶ km³ and the volume of planet B is 1.3 x 10⁹km³.
From the problem statement above;
It follows that the number of times planet B can fit into A is;
- No. of times = 1.5×10¹⁶/1.3×10⁹.
Hence, N = 1.15× 10⁷ times.
Read more on division;
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