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aev [14]
3 years ago
13

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

Mathematics
2 answers:
DIA [1.3K]3 years ago
6 0
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}
sergey [27]3 years ago
6 0
2x² - 3x - 2 = 0
x = <u>-(-3) +/- √((-3)² - 4(2)(-2))</u>
                     2(2)
x = <u>3 +/- √(9 + 16)</u>
                 4
x = <u>3 +/- √(25)
</u>             4<u>
</u>x = <u>3 +/- 5
</u>          4
x = <u>3 + 5</u>  or  x = <u>3 - 5</u>
         4                   4
x = <u>8</u>             x = <u>-2</u>
      4                    4
x = 2             x = ⁻¹/₂
<u />
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