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tatiyna
2 years ago
8

5n2+100=30n , need help explaining how you would work this out

Mathematics
1 answer:
andreev551 [17]2 years ago
6 0

Answer:

n = 3 + i√11 ,  3 - i√11

Step-by-step explanation:

This is a quadratic equation  and the first step is to write it in standard form:

5n^2 - 30n + 100 = 0

Divide through by 5:

n^2 - 6n + 20 = 0

Completing the square:-

(n - 3)^2 - 9 + 20 = 0

(n - 3)^2 = -11

n - 3 = i√11 or - i√11

n = 3 + i√11 ,  3 - i√11

(2 complex roots).

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2 years ago
Ivan wants to fill with foam the empty space left in a cube-shaped box after he places a basketball in the box. How many cubic i
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Answer:

280 cubic inches

Step-by-step explanation:

Cubic inches of foam required = volume of the box - volume of the basketball

The box has a shape of a cube, so that;

volume of the box = l^{3}

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volume of the box = 9^{3}

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The basketball has the shape of a sphere, so that;

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                                          = \frac{4}{3} x 3.14 x (4.75)^{3}

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Thus,

cubic inches of foam required = 729 - 448.693

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