Question

Solve the following quadratic equation for all values of x in simplest form.

3(x2 – 4) + 7 = -2

Answer 1

x = ± 1

Explanation:

Given

3(x² - 4) + 7 = - 2 ( subtract 7 from both sides )

3(x² - 4) = - 9 ( divide both sides by 3 )

x² - 4 = - 3 ( add 4 to both sides )

x² = 1 ( take the square root of both sides )

x² = ±
`√(1)` = ± 1

Thus

x = - 1, x = 1