Question

Resolva as equações do 2° grau

1) x elevado a 2-12x+36=0

2) 4 x elevado a 2-4x+1=0

3) x elevado a 2+8x+16=0

4) x elevado a 2-5x +24=0

Answer 1

1 ) x²-12x+36=0

x²-12x=-36

x² - 12x + 6² = -36 + 6²

(x -6)² =0

x - 6 = 0

x = 6

2 ) 4x + 1 = 0

4x = -1

x = -1/4

x = $\frac{-1}{4}$

x = -$\frac{1}{4}$

3 ) Δ = b²-4ac

Δ = 8²-4·1·16

Δ = 64-64

Δ = 0

x = -b+-√Δ÷2a

x = -8+-√0÷2·1

x = -8+-0÷2

x' = -8+0÷2 --> -4

x'' = -8-0÷2 --> -4

4 ) x² - 5 x - 2 4 = 0

Δ = b² - 4 . a .c

Δ = (-5)² - 4 . 1 . -24

Δ = 25 + 96

Δ = 121

√121 = 11

x = - b +ou - 11/2.1

x´= -(-5) + 11/2

x´= 5 + 11/2

x´= 16/2

x´= 8

x" = 5 - 11/2

x" = -6/2

x = - 3

S = {- 3 ,8}

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