Solve the system of equations using technology:
$\begin{array}{l} y = (4 x - 1)^{2} - 1 \\ y = - 4 x + 1 \end{array}$

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$Final Answer: (\frac{1}{8} - \frac{\sqrt{5}}{8}, \frac{1}{2} + \frac{\sqrt{5}}{2}) and (\frac{1}{8} + \frac{\sqrt{5}}{8}, \frac{1}{2} - \frac{\sqrt{5}}{2})$

Steps

Step 1 ：Set the two equations equal to each other: $(4 x - 1)^{2} - 1 = - 4 x + 1$

Step 2 ：Solve for x: $x = \frac{1}{8} - \frac{\sqrt{5}}{8}$ and $x = \frac{1}{8} + \frac{\sqrt{5}}{8}$

Step 3 ：Plug the x values back into either equation to find the corresponding y values: $y = \frac{1}{2} + \frac{\sqrt{5}}{2}$ and $y = \frac{1}{2} - \frac{\sqrt{5}}{2}$

Step 4 ： $Final Answer: (\frac{1}{8} - \frac{\sqrt{5}}{8}, \frac{1}{2} + \frac{\sqrt{5}}{2}) and (\frac{1}{8} + \frac{\sqrt{5}}{8}, \frac{1}{2} - \frac{\sqrt{5}}{2})$

Solve the system of equations using technology:y=(4x−1)2−1y=−4x+1

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Solve the system of equations using technology:
$\begin{array}{l} y = (4 x - 1)^{2} - 1 \\ y = - 4 x + 1 \end{array}$