Question

Express as the sum of perfect square . x² + y² + z² + xy + yz - zx . Question - (2) if x - 1/x = 3/2. then find x² - 1/x² = ? x⁴ + 1/x⁴ = ? need verified Answer​

Answer 1

Answer:

$\underline{\purple{\ddot{\MasterRohith}}}$

Given:-

• x^2+y^2+z^2+xy+yz-zx (equation)

To prove :-

1. If x-1/x=3/2 what?
2. And if x^2-1/x^2?
3. If x^4+1/4^4=?

Explanation :-

• (Refer the attachment for more information. )

Here first we should add something to get complete equation .

Used formula :-

(a+b)^2= a^2+b^2+2ab

(a-b)^2= a^2-b^2+2ab.

Hope it helps u mate .

Thank you .

Answer 2

Answer:

Given,

2

x

×3

y

×5

z

=2160,

2160=2×2×2×2×3×3×3×5

2160=2

4

×3

3

×5

1

by comparision, we get,

x=4,y=3,z=1

3

x

×2

−y

×5

−z

=3

4

×2

−3

×5

−1

=

2

3

×5

3

4

=

40

81