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# Algebra

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Find the product of all positive integer values of c such that 8x^2 + 158x + c = 0 has two real roots.

May 29, 2021

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Two real roots means the discriminant   ( b^2 - 4ac)   of the Quadratic Formula   $$x = {-b \pm \sqrt{b^2-4ac} \over 2a}$$   is greater than zero

(NOTE : if it is EQUAL to zero...there will be two roots...but they will be identical)

a = 8    b = 158     c = c

158^2 - 4 ( 8)(c) > 0

24864 > 32c

780.125 > c

or c  < 780          In your question : Is that REALLY supposed to be 158 x ?

May 29, 2021