# What is the historical context of the memo? A. The Battle of Berlin B. The rise of Nazi Germany C. The German Safety Initiative D. The Berlin blockade

PineaPPle663   ·   08.05.2022 09:50
30.06.2019 01:00

b is correct

have a cool day

28.06.2019 20:30

because people what other people gold

explanation:

26.06.2019 18:30

26.06.2019 09:10

$$x = \pm 2\sqrt{2} \: \: or \: \: x = \pm 1$$

explanation

the given equation is

$${x}^{4} - 9 {x}^{2} + 8 = 0$$

we can rewrite this as:

$$({x}^{2})^{2} - 9 {x}^{2} + 8 = 0$$

let

$$u = {x}^{2}$$

then the equation becomes:

$${u}^{2} - 9 {u}^{2} + 8 = 0$$

the factors of 8 that sum up to -9 are {-1,-8}

we split the middle term with these factors to obtain,

$${u}^{2} - u - 8u+ 8 = 0$$

we factor by grouping to obtain:

$$u(u - 1) - 8(u - 1) = 0$$

$$(u - 8)(u - 1) = 0$$

apply the zero product property to get:

$$u - 8 = 0 \: \: or \: \: u - 1 = 0$$

$$u = 8 \: or \: u = 1$$

but

$$u = {x}^{2}$$

$${x}^{2} = 8 \: or \: {x}^{2} = 1$$

$$x = \pm \sqrt{8} \: \: or \: \: x = \pm \: \sqrt{ 1}$$

$$x = \pm 2\sqrt{2} \: \: or \: \: x = \pm 1$$

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