To form a quadratic equation with roots 5 and 9, you can use the fact that if ( r_1 ) and ( r_2 ) are the roots, the equation can be expressed as ( (x - r_1)(x - r_2) = 0 ). Therefore, the equation becomes ( (x - 5)(x - 9) = 0 ), which expands to ( x^2 - 14x + 45 = 0 ). Thus, the quadratic equation is ( x^2 - 14x + 45 = 0 ).
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