Question

guys pls help me to answer it !!​

Answer 1

x+y=8

xy=9

(x+y)²=x²+y²+2xy

8²=x²+y²+2*9

64-18=x²+y²

x²+y²=46

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Answer 2

46

Step-by-step explanation:

Given:

x + y = 8

xy = 9

To find:

The value of x² + y²

What you have to do ?

1.Use Algebra Formula.

2. Substitute the given values.

3. Simplify and Get the answer.

Easy ?

Solution:

x + y = 8

[Squaring both side]

(x + y)² = 64

x² + y² + 2xy = 64

x² + y² + 2.9 = 64

x² + y² = 64 - 18

x² + y² = 46

Therefore, the required answer is 46.

Some Important Algebra Formula

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