Question

360=x²-2x
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Answer 1

x² - 2x - 360 = 0

x = 1 + - √1 + 360

x = 1+ - √361

x' = 1 + 19    → x' = 20

x" = 1 - 19   → x" = - 18

Delta  =  ( - 2 )² - 4 ( 1 ) ( - 360 )  → 1444

x = 2 +- √1444
    -----------------
            2

x'  = 2 + 38
       ----------
            2

x' = 20

x" = 2 - 38
      ----------
           2

x" = - 18

 

Answer 2

$\mathtt{360 = x^2 - 2x} \\ \mathtt{x^2 -2x -360 = 0} \\ \\ \mathtt{a = 1} \\ \mathtt{b = -2} \\ \mathtt{c = -360} \\ \\ \mathtt{\Delta = b^2~.~a~.~c} \\ \\ \mathtt{\Delta = (-2)^2-4~.~1~.~(-360)} \\ \mathtt{\Delta=4-4~.~(-360)} \\ \mathtt{\Delta= 4 + 1.440 } \\\mathtt{\Delta = 1.444} \\ \\ \mathtt{ \frac{ -b+-\sqrt{\Delta} }{2~.~a} }$

$\mathtt{\frac{-(-2)+- \sqrt{1.444} }{2~.~1} } \\ \\ \mathtt{ \frac{2 +- 38 }{2} } \\ \\ \mathtt{x' = \frac{2 + 38}{2} } \\ \\ \mathtt{x' = \frac{40}{2}} \\ \\ \boxed{\mathtt{x' = 20}} \\ \\ \\ \mathtt{x'' = \frac{2 - 38}{2}} \\ \\ \mathtt{x'' = \frac{-36}{2}} \\ \\ \boxed{\mathtt{x'' = -18 }} \\ \\ \\ \boxed{\boxed{ \mathtt{Resposta : S(-18~~~e~~~~20)}}}$