Question

Resolva as seguintes equações,com a formula de Bhaskara.
a)$x^{2} -x-12=0$

b)$x^{2} -14x-32=0$

Answer 1

a)
x² - x - 12 = 0
a = 1; b = - 1; c = - 12

Δ = b² - 4ac
Δ = (-1)² - 4.1.(-12)
Δ = 1 + 48
Δ = 49

x = - b +/- √Δ = - (-1) +/-√49
         2a                  2.1

x = 1 + 7 = 8/2 = 4
        2

x = 1 - 7 = - 6/2 = - 3
        2

R.:x = 4 e x= - 3
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b)
x² - 14x - 32 = 0

a = 1; b = - 14; c = - 32

Δ = b² - 4ac
Δ = (-14)² - 4.1.(-32)
Δ = 196 + 128
Δ = 324

x = - b +/- √Δ = - (-14) +/- √324
         2a                 2.1

x = 14 + 18 = 32/2 = 16
         2

x = 14 - 18 = - 4/2 = - 2
          2

R.: x = 16 e x = - 2