There exist two positive integers c such that the equation
5x^2 + 11x + c = 0
has rational solutions. Find the product of these two values of c.
There exist two positive integers c such that the equation
5x^2 + 11x + c = 0
has rational solutions. Find the product of these two values of c.
5x2 + 11x + c = 0
5x2 + 11x + 2 will factor to (5x + 1)(x + 2) .... in this case, then c = 2
5x2 + 11x + 6 will factor to (5x + 6)(x + 1) .... in this case, then c = 6
When you multiply 2 • 6 the product is 12.
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