Question

$$\left. \begin{array} { l } { 3 x - 5 x + 1 = 0 } \\ { x ^ { 2 } 6 x + 9 = 0 } \end{array} \right.$$

Answer

q=-1572864/125;x=64/5

Solution


Solve for \(x\) in \(63-5x+1=0CEN\).
\[x=\frac{64}{5}\]
Substitute \(x=\frac{64}{5}\) into \({x}^{2}\times 6x+q=0\).
\[\frac{1572864}{125}+q=0\]
Solve for \(q\) in \(\frac{1572864}{125}+q=0\).
\[q=-\frac{1572864}{125}\]
Therefore,
\[\begin{aligned}&q=-\frac{1572864}{125}\\&x=\frac{64}{5}\end{aligned}\]