Q. 74.0( 4 Votes )

# If x + y = 7 and

Answer :

x + y = 7

y = 7-x …Equation (i)

xy = 12

Putting the value of y from above Equation (i) we get

x(7-x) = 12

7x-x2 = 12

x2-7x + 12 = 0

Solving the above equation by the method of factorization we get

x2-4x-3x + 12 = 0

x(x-4)-3(x-4) = 0

(x-4)(x-3) = 0

x = 4,3

When x = 4, y = 3

x2 + y = 19

When x = 3, y = 4

x2 + y = 13

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