Question

Solve x2 – 12x + 36 = 90 for x.

Answer 1

`x^2 - 12x + 36 = 90 \\ \\ x^2 - 12x + 36 - 90 = 0 \ / \ move \ terms \ to \ one \ side \\ \\ x^2 - 12x - 54 = 0 \ / \ simplify \\ \\ x = (12 + 6 √(10) )/(2) , (12 - 6 √(10) )/(2) \ / \ quadratic \ formula \\ \\ x = 3(2 + √(10) ) \ , \ 3(2 - √(10) ) \ / \ simplify \\ \\`

So, your answer to this problem is x = 3(2 + √10) , 3(2 - √10).