Question

If x + y = 10 and xsquare + ysquare = 58, then find the value of xcube + ycube.​

Answer 1

Answer:

x

$x {}^{3} + y {}^{3}$

=370

Answer 2

Answer: x^3+y^3=370

Step-by-step explanation:

x+y=10---------eq(1)

x^2+y^2=58-----------eq(2)

From x+y=10

x=10-y put in eq 2.

(10-y)^2+y^2=58

100+y^2-20y+y^2=58

2y^2-20y+100-58=0

2y^2-20y+42=0

2(y^2-10y+21)=0

y^2-10y+21=0/2

y^2-10y+21=0

We will factories it.

y^2-7y-3y+27

y(y-7)-3(y-7)

(y-7)(y-3)

y=3,7 we will take 3 as value of y.

Put in eq1.

x+y=10

x+3=10

x=10+3

x=7.

Now we have value of both x and y.

x^3+y^3

7^3+3^3

343+27

=370

x^3+y^3=370.

Hope it will help you.

Thank you.