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if Alpha Cube + beta cube is equals to 35 and alpha + beta is equal to 5 find the alpha and beta​

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if Alpha Cube + beta cube is equals to 35 and alpha + beta is equal to 5 find the alpha and beta​

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Maya

Write the decimal number of .7tenth ,2hundredths,4thousandths

3. Verify the property a * (y + 2) = x xy + x x z by taking:

(i) x = -3/8 , y = 3/12 ,z = 5/-6​

2 thoughts on “if Alpha Cube + beta cube is equals to 35 and alpha + beta is equal to 5 find the alpha and beta​”

  2. Answer:

    [tex]\alpha[/tex] = 2 or [tex]\alpha[/tex] = 3

    Step-by-step explanation:

    given, [tex]\alpha[/tex]³ + [tex]\beta[/tex]³ = 35 & [tex]\alpha[/tex]+[tex]\beta[/tex] = 5

    we know, a³+b³ = (a+b)³ – 3ab(a+b)

    => [tex]\alpha[/tex]³ + [tex]\beta[/tex]³ = ([tex]\alpha[/tex]+[tex]\beta[/tex] )³ – 3[tex]\alpha[/tex][tex]\beta[/tex] ([tex]\alpha[/tex]+[tex]\beta[/tex] )

    => 35 = 5³ – 3[tex]\alpha[/tex][tex]\beta[/tex]*5

    => 7 = 5² – 3[tex]\alpha[/tex][tex]\beta[/tex]

    => 7 = 25 – 3[tex]\alpha[/tex][tex]\beta[/tex]

    => 3[tex]\alpha[/tex][tex]\beta[/tex] = 25-7

    => 3[tex]\alpha[/tex][tex]\beta[/tex] = 18

    => [tex]\alpha[/tex][tex]\beta[/tex] = 6

    => [tex]\alpha[/tex](5-[tex]\alpha[/tex]) = 6

    => (5[tex]\alpha[/tex]-[tex]\alpha[/tex]²) = 6

    => ([tex]\alpha[/tex]²-5[tex]\alpha[/tex]+6) = 0

    => ([tex]\alpha[/tex]-2)([tex]\alpha[/tex]-3) = 0

    => [tex]\alpha[/tex] – 2 = 0 or [tex]\alpha[/tex] – 3 = 0

    => [tex]\alpha[/tex] = 2 or [tex]\alpha[/tex] = 3

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