If the operation ‘o’ among real numbers is defined by x o y = $$x^2 - 2y$$, then values of x satisfying 2xo 4 =2 ox is ?->(Show Answer!)

1. If the operation ‘o’ among real numbers is defined by x o y = $$x^2 - 2y$$, then values of x satisfying 2xo 4 =2 ox is

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By: anil on 05 May 2019 01.51 am

It is given that $$x o y = x^2 - 2y$$ $$ herefore$$ $$2x o 4 = 4x^2 - 8$$ and $$2 o x = 4 - 2x$$ => $$4x^2 - 8 = 4 - 2x$$ => $$2x^2 + x - 6 = 0$$ => $$2x^2 + 4x - 3x - 6 = 0$$
=> $$2x (x + 2) - 3 (x + 2) = 0$$ => $$(2x - 3) (x + 2) = 0$$ => $$x = frac{3}{2} , -2$$

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