Question

3x ^ 2 + 1 = x ^ 2 + 51

Answer 1

3x² + 1 = x² + 51

3x² - x² - 51 + 1 = 0

2x² - 50 = 0

x² - 25 = 0

∆ = 0² - 4.1.(-25)

∆ = 0 + 100

∆ = 100

$x = \frac{ -0 ± \sqrt{100} }{2 \times 1}$

$x = \frac{ ± 10}{2}$

$x' = \frac{10}{2} = 5$

$x" = \frac{ - 10}{2} = - 5$