Find the product of all real solutions of:
Code:16^X^2+X+4=32^X^2+2X
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Find the product of all real solutions of:
Code:16^X^2+X+4=32^X^2+2X
16^x^2+x+4=32+x^2+2x
Hello, ceasar_19134!
As written, I see no way to solve the equation . . .
Could the problem be:
. . Find the product of all real solutions of: $\displaystyle 16x^2+x+4\:=\:32 + x^2+2x$
Then we have: .$\displaystyle 15x^2 - x - 28\:=\:0\quad\Rightarrow\quad x^2 - \frac{1}{15}x - \frac{28}{15}\:=\:0$
Then the product of the roots is: $\displaystyle -\frac{28}{15}$