Question

If x2+y2=12 and x-y=14 then what will be value of xy

Answer 1

Step-by-step explanation:

Given -

• x² + y² = 12
• x - y = 14

To Find -

• Value of xy

Now,

As we know that :-

• (a - b)² = a² - 2ab + b²

→ (x - y)² = x² - 2xy + y²

→ (14)² = 12 - 2xy

→ 196 - 12 = -2xy

→ 184 = -2xy

→ xy = 184/-2

→ xy = -92

Hence,

The value of xy is -92.

Answer 2

xy = -92

Given:-

• x² + y² = 12
• x - y = 14

To Find:-

• Value of xy.

Solution:-

★ Identity used:

$\star \; \; {\underline{\underline{\rm{\red{(a - b)^2 = a^2 - 2ab + b^2}}}}}$

Therefore,

$: \implies$ (x - y)² = x² - 2xy + y²

$: \implies$ (14)² = 12 - 2xy

$: \implies$ 196 - 12 = - 2xy

$: \implies$ 184 = - 2xy

$: \implies \rm{xy = \cancel{ \dfrac{184}{- 2}}}$

$: \implies \rm{xy = - 92}$

${\underline{\underline{\rm{\purple{\dag \; Hence\;Solved!}}}}}$

$\rule{200}{3}$