Question

If (x-y) = 6 and xy = 14 find the value of (x+y)​

Answer 1

SOLUTION

GIVEN

x - y = 6 & xy = 14

TO DETERMINE

The value of x + y

EVALUATION

Here it is given that x - y = 6 & xy = 14

Now $\sf{ {(x + y)}^{2} = {(x - y)}^{2} + 4xy}$

$\sf{ \implies \: {(x + y)}^{2} = {(6)}^{2} + 4 \times 14}$

$\sf{ \implies \: {(x + y)}^{2} = 36 + 56}$

$\sf{ \implies \: {(x + y)}^{2} = 92}$

$\sf{ \implies \: {(x + y)}^{} = \sqrt{92} }$

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

1. solve: 49³-30³+(....)³= 3 × 49 × 30 × 19

https://brainly.in/question/17577612

2. If x+1/x=3 then, x^7+1/x^7=

https://brainly.in/question/23295932