Question

If x - y = 5 and x • y = 3 then find x³ - y³ = ?​

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Answer Dude

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1 decade ago

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x +y =3, y=3-x

x^2 + y^2=5

x^2 + (3-x)^2=5

x^2 + (9-6x + x^2)=5

2x^2 -6x +9 =5

2x^2-6x+4=0

x^2-3x+2=0

(x-1)(x-2)=0

x=1 or 2

y=3-x, y=2 or 1

2 answer sets (1,2) and (2,1)

x^3 + y^3=?

(1)^3 + (2)^3= 1+8=9

use other answer set

(2)^3 + (1)^3= 8 + 1=9

answer

x^3 + y^3 = 9