Show that x = - 2 is a solution of 3x2 + 13x + 14 = 0.

If x = - 2 is a solution then it must satisfy the equation

3x2 + 13x + 14 = 0


LHS = 3x2 + 13x + 14


= 3( - 2)2 + 13( - 2) + 14


= 12 - 26 + 14 = 26 - 26 = 0 = RHS


Thus x = - 2 is a solution of the equation


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