+1833 The solutions to the equation
can be written in the form , where and are relatively prime integers and .
What is the product ?\(The solutions to the equation $$6x^2 + 10x = 4 - 10x - 6x^2$$ can be written in the form $x=\frac{P\pm \sqrt Q}{R}$, where $P$ and $R$ are relatively prime integers and $R>0$. What is the product $PQR$ ?\)
+128732 Hey, Mellie......it's tough to see the whole problem, but I guess you want the solutions
[ and their product ] for :
6x^2 + 10x = 4 - 10x - 6x^2 simplify
12x^2 + 20x - 4 = 0 divide through by 4
3x^2 + 5x - 1 = 0
The solutions are :
[ -5 + √37] / 6 and [ -5 - √37] / 6
The product of the solutions = ( [ -5 + √37] / 6] ) * ( [ -5 - √37] / 6 ) = [25 - 37] / 36 = -12/36 = -1/3
If this is not what you asked for......sorry !!!!
