Question

if x+y = 12 and xy=27 find the value of xsquare and y square​

Answer 1

Step-by-step explanation:

x^2 = 9 or 81

y^2 = 9 or 81

this is the right answer

Answer 2

Answer:

Hola!

Here's how to do it:-

Since x + y = 12

Let's take y as x-12 so that it will be easier to calculate.

Its given that xy=27.

Substituting our new values to this equation, we get:

(x) (x-12) = 27

$x^{2}$- 12x = 27

Here, we can use the completing the square method.

$x^{2} - 12x+ (\frac{12}{2})^{2} = 27+ (\frac{12}{2})^{2}$

$x^{2} - 12x+ 6^{2} = 27 -6^{2}$

$x^{2} - 12x+ 6^{2} = 27-36$

$x^{2} - 12x+ 6^{2} = 9$

$(x+6)^{2} = 9$

$x-6 = \sqrt{9}$

x - 6 = 3

x = 3+6  

x = 9

So, since y was x-12,

y would be

9-12

value of y is 3.

Value of x is 9 and value of y is 3.

Values of $x^{2}$ and $y^{2}$

$x^{2}$= $9^{2}$

$9^{2}$ = 81

Value of $y^{2}$

$y^{2}$ = $3^{2}$

$3^{2}$ = 9

Final answer would be:-

Value of $x^{2}$ is 81 and Value of $y^{2}$ is 9

Hope it helps!

Keep learning!

:-)