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2x^2-3x-2=0 zero product property

Sagot :

naǫ
[tex]2x^2-3x-2=0 \\ 2x^2-4x+x-2=0 \\ 2x(x-2)+1(x-2)=0 \\ (2x+1)(x-2)=0 \\ 2x+1=0 \ \lor \ x-2=0 \\ 2x=-1 \ \lor \ x=2 \\ x=-\frac{1}{2} \ \lor \ x=2 \\ \boxed{x=-\frac{1}{2} \hbox{ or } x=2}[/tex]
Panoyin
2x² - 3x - 2 = 0
x = -(-3) +/- √((-3)² - 4(2)(-2))
                     2(2)
x = 3 +/- √(9 + 16)
                 4
x = 3 +/- √(25)
             4
x = 3 +/- 5
          4
x = 3 + 5  or  x = 3 - 5
         4                   4
x = 8             x = -2
      4                    4
x = 2             x = ⁻¹/₂
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