SOLUTION: determine the set of values of p for which {{{5x^2-7x+p=0}}} has real and distinct roots.

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Question 704748: determine the set of values of p for which 5x%5E2-7x%2Bp=0 has real and distinct roots.
Answer by mouk(232) About Me  (Show Source):
You can put this solution on YOUR website!
+5x%5E2-7x%2Bp=0+ has real and distinct roots if the discriminant +DELTA+=+b%5E2-4ac+%3E+0+, so:

+%28-7%29%5E2-4%285%29%28p%29+%3E+0+
+49-20p+%3E+0+
+49%3E20p+
+20p%3C49+
+p%3C49%2F20+
+p%3C2.45+