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3 years ago

Arealnumber has a blank that can described as rational orirrational?

Mathematics

1 answer:

SSSSS [86.1K]3 years ago

4 0

Answer: A real number has irrational that can be described. Hope this helps !

Step-by-step explanation:

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If alpha and beta are the zeroes of the polynomial 6x2+x-2 find the value og alpha/beta + beta/alpha

castortr0y [4]

$6x^2+x-2=6x^2+4x-3x-2=2x(3x+2)-1(3x+2)\\\\=(3x+2)(2x-1)\\\\3x+2=0\to x=-\frac{2}{3}\\\\2x-1=0\to x=\frac{1}{2}\\\\\alpha=-\frac{2}{3};\ \beta=\frac{1}{2}\\\\\frac{\alpha}{\beta}+\frac{\beta}{\alpha}=\frac{-\frac{2}{3}}{\frac{1}{2}}+\frac{\frac{1}{2}}{-\frac{2}{3}}=-\frac{2}{3}\cdot\frac{2}{1}-\frac{1}{2}\cdot\frac{3}{2}=-\frac{4}{3}-\frac{3}{4}\\\\=-\frac{16}{12}-\frac{9}{12}=-\frac{25}{12}=-2\frac{1}{12}$

$use\ Vieta's\ formula:\\\\\frac{\alpha}{\beta}+\frac{\beta}{\alpha}=\frac{\alpha^2+\beta^2}{\alpha\beta}=\frac{\alpha^2+2\alpha\beta+\beta^2-2\alpha\beta}{\alpha\beta}=\frac{(\alpha+\beta)^2-2\alpha\beta}{\alpha\beta}=\frac{(\alpha+\beta)^2}{\alpha\beta}-2\\\\\alpha+\beta=\frac{-b}{a};\ \alpha\beta=\frac{c}{a}\\\\\frac{(\alpha+\beta)^2}{\alpha\beta}-2=\frac{\left(\frac{-b}{a}\right)^2}{\frac{c}{a}}-2=\frac{b^2}{a^2}\cdot\frac{a}{c}-2=\frac{b^2}{ac}-2$

$6x^2+x-2\\\\a=6;\ b=1;\ c=-2\\\\\frac{\alpha}{\beta}+\frac{\beta}{\alpha}=\frac{1^2}{6\cdot(-2)}-2=\frac{1}{-12}-2=-2\frac{1}{12}$

7 0

3 years ago

the problem is kamala had 5,026 grams flour in a canister.she brought a 4,158 gram bag of flour.she poured some flour from the

andrey2020 [161]

Hello,

x= amount of flour that she poured in the canister

there was 5,026 grams of flour, and now: 5,026+x

In the bag there was 4,158, now: 4,158

I says that as a result the mass of the flour in the canister is twice the mass of the flour left in the bag, so:

$5,026+x=2*(4,158-x) \\ 5,026+x=8,316-2x \\ 3x=8,316-5,026 \\ 3x=3,290 \\ x=1,096.67$

So, she poured 1,096.67 grams, we subtract this from the initial amount in the bag and we have the answer:

$4,158g-1,096.67=\boxed{3,061.33}$

Answer: there is 3,061.33 grams of flour in the bag

8 0

3 years ago

Lauren has 43 flowers she has 16 fewer flowers than gabriel how many flower does gabriel have

WARRIOR [948]

Answer:

Step-by-step explanation:

Gabrielhs 59 flowers because 43 + 16= 59.

7 0

2 years ago

Read 2 more answers

80 is 25% of what number

serious [3.7K]

The number 80 is 25% of 320

6 0

3 years ago

An adult pass at the amusement park costs 1.6 times as much as a child's pass.

Ket [755]

Answer:

(5$ = 8) (10$=16) and im still not sure for w then part. b 24$

Step-by-step explanation:

5x1.6=8

10x1.6=16

i need help with w

15x1.6=24

sorry if this didnt help

4 0

3 years ago

Arealnumber has a blank that can described as rational orirrational?​

Arealnumber has a blank that can described as rational orirrational?