Question

Resolva a equação do segundo grau aplicando juntamente a formula de baskara
(X+6)²igual 25X-4

Answer 1

x² + 6x + 6x + 36= 25x -4 
x² + 12x + 36 = 25x - 4
x² + 12x - 25x = -4 - 36
x² - 13x = -40
x² - 13x + 40 = 0
Delta= b² - 4a.c
13² - 4 . 1 . 40
169 - 160 = 9

 -b +- Raiz de 9/2a
x'= +13+3/2 . 1 = +10/2= x'= 5
x"= +13-3/2 . 1 = +16/2= x"= 8

Answer 2

(x + 6)² = 25x - 4
(x + 6)(x + 6) = 25x - 4
x² + 6x + 6x + 36 = 25x - 4
x² - 12x -25x = -36 - 4
x² - 13x = -40
x² - 13x + 40 = 0
a=1, b=-13, c=40
Δ = b² - 4 · a · c
Δ = (-13)² - 4 · 1 · 40
Δ = 169  - 160
Δ = 9

x' = -b² + √Δ / 2a
x' = 13 + √9 / 2·1
x' = 13 + 3 / 2
x' = 16 / 2
x' = 8

x" = 13 - 3 / 2
x" = 10 / 2
x" = 5