Question

X+y=5 and x × y = 6 then x^2 +y^2 =

Answer 1

Answer:

The answer of x^2 + y^2 = 13

Step-by-step explanation:

The given:

x + y = 5

Therefore, y = 5 - x

Therefore, x * y = 6

Substituting the value,

                                    x ( 5 - x )= 6

Therefore, 5x - x^2 =6

Transposing, x^2 -5x + 6 = 0

Therefore, splitting the middle term we get, ( x-2)(x - 3) = 0

Therefore, x can be 2, or 3.

Let x be2, therefore, y = 3

Therefore, x^2 + y^2 = 2^2 + 3^2 = 13

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