Answer: x = ±2
Solution:
[tex]5x^2 - 6 = 14\\5x^2 = 14 + 6\\5x^2 = 20\\\\\frac{5x^2}{5} = \frac{20}{5} \\\\x^2 = 4\\\sqrt{x^2} = \sqrt{4}\\x = 2\\\\\\\\checking:\\\\x = 2\\\\5(2)^2-6=14\\5(4) - 6 = 14\\20 - 6 = 14\\14 = 14\\\\x = -2\\5(-2)^2-6=14\\5(4) - 6 = 14\\20 - 6 = 14\\14 = 14[/tex]
