Question

4
14. (a) If the sum and product of two numbers are
(b) If the difference of two numbers is 10 and their product is -24, find the difference of their
cubes​

Answer 1

Answer:

(a)Insufficient data

(b)280 is the answer

Step-by-step explanation:

(a)Can't answer (a) as insufficient data

(b)Let x and y be two numbers and let x be the bigger number

x-y=10............(1)

xy=-24...........(2)

x=-24/y..........(3)

Substituting 3 in 1,

-24/y -y=10

Multiplying the entire equation by y,

-24-y^2=10y

y^2+10y+24=0

y^2+4y+6y+24=0

y(y+4)+6(y+4)=0

(y+4)(y+6)=0

y=-4 or y=-6

Case 1:

Taking y=-6

Substituting in (3),

x=4

Case 2:

Taking y=-4

Substituting in (3),

x=6

WHEN Y=-4 and X=6,

x^3-y^3=216+64=280

WHEN Y=-6 and X=4,

x^3-y^3=64+216=280

From both the cases, the answer is 280

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