ECUACIONES DE SEGUNDO GRADO
1) √x-3 - 1/2 = x
√x-3 = x + 1/2
(√x-3)² = (x + 1/2)²
x - 3 = x² + x + 1/4
x² + 1/4 + 3 = 0
x² + 13/4 = 0
x² = -13/4
x = ± √-13/4
x₁ = -√13/2 x₂ = √13/2
2) 7x2 + 21x - 28 = 0
ax2 +bx +c = 0
a = 7
b = 21
c = -28
= - (21) ± √ (21) 2 - 4 · 7 (-28)
2(7)
= - 21 ± √ 441 – (-784)
14
= -21± √ 1225
14
= - 21 ± 35
14
= -21 + 35 = 1
14
= - 21 – 35 = - 4
14
X1 = 1
X2 = -4
3) 
4) 
5) x 2 - x = 0
ax2 +bx +c = 0
a = 1
b = - 1
c = 0
x= -b ± √ b ² - 4ac
2ª
= - (-1) ± √ (-1) 2 – 4· 1· 0
2·1
= 1 ± √ 1 – 0
2
= 1 ± √ 1
2
= 1 ± 1
2
= 1+1 = 1
2
= 1-1 = 0
2
X1 = 1
X2 = 0
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