Question

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

Answer 1

Answer:

$\alpha$ = 2 or $\alpha$ = 3

Step-by-step explanation:

given, $\alpha$³ + $\beta$³  = 35  & $\alpha$+$\beta$ = 5

we know, a³+b³ = (a+b)³ - 3ab(a+b)

=> $\alpha$³ + $\beta$³ = ($\alpha$+$\beta$ )³ - 3$\alpha$$\beta$ ($\alpha$+$\beta$ )

=> 35 = 5³ - 3$\alpha$$\beta$*5

=> 7 = 5² - 3$\alpha$$\beta$

=> 7 = 25 - 3$\alpha$$\beta$

=> 3$\alpha$$\beta$ = 25-7

=> 3$\alpha$$\beta$ = 18

=> $\alpha$$\beta$ = 6

=> $\alpha$(5-$\alpha$) = 6

=> (5$\alpha$-$\alpha$²) = 6

=> ($\alpha$²-5$\alpha$+6) = 0

=> ($\alpha$-2)($\alpha$-3) = 0

=> $\alpha$ - 2 = 0   or $\alpha$ - 3 = 0

=> $\alpha$ = 2 or $\alpha$ = 3

Answer 2

Answer:

i really don't know i am just studing 7th