Respuesta:
Datos importantes:
∆ = b² - 4ac
x² - 2x - 8 = 0
∆ = (-2)² - 4(1)(-8)
∆ = 4 + 32
∆ = 36.................. ∆ > 0
[tex]x = \frac{2 \binom{ + }{ - } \sqrt{36} }{2(1)} \\ x = \frac{2 \binom{ + }{ - } 6 }{2} \\ x = \frac{2 + 6}{2} = \frac{8}{2} = 4 \\ x = \frac{2 - 6}{2} = \frac{-4}{2} = -2 [/tex]
5x² + 37x - 72 = 0
∆ = 37² - 4(-72)(5)
∆ = 1369 + 1440
∆ = 2809
∆ > 0
2x² + 20x + 16 = 0
∆ = 20² - 4(16)(2)
∆ = 400 - 128
∆ = 272
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Verified answer
Respuesta:
Datos importantes:
∆ = b² - 4ac
x² - 2x - 8 = 0
∆ = (-2)² - 4(1)(-8)
∆ = 4 + 32
∆ = 36.................. ∆ > 0
[tex]x = \frac{2 \binom{ + }{ - } \sqrt{36} }{2(1)} \\ x = \frac{2 \binom{ + }{ - } 6 }{2} \\ x = \frac{2 + 6}{2} = \frac{8}{2} = 4 \\ x = \frac{2 - 6}{2} = \frac{-4}{2} = -2 [/tex]
5x² + 37x - 72 = 0
∆ = 37² - 4(-72)(5)
∆ = 1369 + 1440
∆ = 2809
∆ > 0
2x² + 20x + 16 = 0
∆ = 20² - 4(16)(2)
∆ = 400 - 128
∆ = 272
∆ > 0