Respostas
Resposta:
a) x = ± 7
b) x = ± 1
c) x = ± 5
d) x = ± 1
e) x = 3 / x = 2
f) x = -6 / x = -2
Explicação passo a passo:
a) x² - 49 = 0
x² = +49
x = √49
x = ± 7
b) x² -1 = 0
x² = 1
x = ± 1
c) 2x² - 50 = 0
2x² = 50
x² = 50 / 2
x² = 25
x = √25
x = ± 5
d) 7x² - 7 = 0
7x² = 7
x² = 7 / 7
x² = 1
x = √1
x = ±1
e) x² - 5x + 6 = 0
usando Baskhara x = (- b ± √b²-4×a×c)/(2×a)
e sabendo que a=1 ; b=-5 c=-6
x = -(-5) ± √ [(-5)² - 4×1×6] / 2×1
x = 5 ± √ 25 - 24 / 1
x = (5 ± 1) / 2
x' = (5 + 1) / 2 => x' = 6/2 => x' = 3
x'' = (5 - 1) / 2 => x'' = 4/2 => x'' = 2
f) x² + 8x + 12 = 0
usando Baskhara x = (- b ± √b²-4×a×c)/(2×a)
e sabendo que a=1 ; b=8 c=12
x = -(8) ± √ [(8)² - 4×1×12] / 2×1
x = -8 ± √ (64 - 48) / 2
x = -8 ± √ 16 / 2
x = -8 ± 4 / 2
x' = (-8 + 4) / 2 => x' = -4 / 2 => x' = -2
x'' = (-8 - 4) / 2 => x'' = -12 / 2 => x'' = -6