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completing the square
x^2 -2x -43=5

Sagot :

naǫ
[tex]x^2-2x-43=5 \\ x^2-2x+1-1-43=5 \\ (x-1)^2-44=5 \\ (x-1)^2=49 \\ \sqrt{(x-1)^2}=\sqrt{49} \\ |x-1|=7 \\ x-1=7 \ \lor \ x-1=-7 \\ x=8 \ \lor \ x=-6 \\ \boxed{x=-6 \hbox{ or } x=8}[/tex]
Panoyin
x² - 2x - 43 = 5
             - 5  - 5
x² - 2x - 48 = 0
x = -(-2) +/- √((-2)² - 4(1)(-48))
                        2(1)
x = 2 +/- √(4 + 192)
                   2
x = 2 +/- √(196)
               2
x = 2 +/- 14
            2
x = 1 +/- 7
x = 1 + 7   ∨   x = 1 - 7
x = 8         ∨   x = -6
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