Write down a number you can square to give an answer bigger than 400 but smaller than 500

1 answer:

7 0

If you would like to know a number you can square and the answer is bigger than 400 but smaller than 500, you can calculate this using the following step:

20^2 = 400 < 21^2 = 441 < 22^2 = 484 < 500

There are two correct results: 21 and 22.

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¿cuantos envases se necesitan, si ponemos los 6 litros en envases de 3/4 litros?

guajiro [1.7K]

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denada

8 0

2 years ago

Please help!!

yarga [219]

Because this is a fourth degree that will be tricky to factor as it is, we will do a u substitution. Let $x^2=u$ . We can now rewrite that polynomial in terms of u: $u^2-7u-8=0$ . Filling into the quadratic formula we have $u=\frac{7+/-\sqrt{49-4(1)(-8)}}{2}$ . Simplifying down $u=\frac{7+/-\sqrt{81}}{2}$ and $u=\frac{7+9}{2}$ or $u=\frac{7-9}{2}$ . That means that u = 8 or u = -1. But don't forget that we let $u=x^2$ , so we have to put x-squared back in for u. That gives us $x^2=8$ which simplifies down to $+/-2\sqrt{2}$ . That also gives us $x^2=-1$ . When we take the square root of -1, we have to use the fact that -1 = i^2, so we sub that in to get $x=+/-i$ . All in all, your solutions are as follows: $2\sqrt{2},-2\sqrt{2},i,-i$ which is choice b.