Question

Simplifique A ) X² + 2X + 1 B) X²- 8X +12

Answer 1

Delta= 2 (ao quadrado) - 4.1.1
Delta=4-4
Delta=0


Delta=(-8) (ao quadrado) - 4.1.12
Delta=64-48
Delta=16

Answer 2

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A)

x² +2x +1=0

a=1
b=2
c=1

Δ=b²-4ac
Δ=2²-4(1)(1)
Δ=4-4
Δ=0

$x= \frac{-b\pm \sqrt{\Delta} }{2a} =~~ \frac{-2\pm \sqrt{0} }{2} = \frac{-2}{2} =-1 \\ \\ S=\{-1\}$ 

B)
x²-8x+12=0

a=1
b=-8
c=12

Δ=b²-4ac
Δ=(-8)²-4(1)(12)
Δ=64-48
Δ=16

$x= \frac{-b\pm \sqrt{\Delta} }{2a} =~~ \frac{-(-8)\pm \sqrt{16} }{2} =~~ \frac{8\pm4}{2} \\ \\ x'= \frac{8+4}{2} = \frac{12}{2} =6 \\ \\ x"= \frac{8-4}{2} = \frac{4}{2} =2 \\ \\ S=\{2,6\}$