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Find the product of all positive integer values of c such that 8x^2 + 45x + c = 0 has two real roots.

Sep 8, 2021

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Find the product of all positive integer values of c.

Hallo Guest!

$$8x^2 + 45x + c = 0$$

$$x^2+ \frac{45}{8}x+\frac{c}{8}=0\\c<64$$

$$c\in \{1,2..\ ..62,63\}$$

The product of all positive integer values of c is

$$\large 63!= 1.98260383154044401..$$    $$\large ..729600000000000000\times 10^{87}$$

$$88\ decimal\ digits$$

!

Sep 8, 2021
edited by asinus  Sep 8, 2021
edited by asinus  Sep 8, 2021
edited by asinus  Sep 8, 2021
edited by asinus  Sep 8, 2021