Question

Resolva as equações do 2°grau:
a) x^2-14x+49=0
b) 4x^2-20x+25=0
c) 4y^2=4y-1
d)p^2+6p=16p-25

Answer 1

x² - 14x + 49 = 0
Delta = b² - 4ac
Delta = 196 - 4(1)(49)
Delta = 196 - 196
Delta = 0
X = (-b +- raiz delta) / 2a
X = (14 +- 0) / 2
x' e x" = 14/2 = 7

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4x² - 20x + 25 = 0
Delta = b² - 4ac
Delta = 400 - 4(4)(25)
Delta = 400 - 400
Delta = 0
X = (-b +- raiz delta) / 2a
X = (20 +- 0) / 8
x' e x" = 20/8 = 5/2

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4y² - 4y + 1 = 0
Delta = b² - 4ac
Delta = 16 - 4(4)(1)
Delta = 16 - 16
Delta = 0
X = (-b +- raiz delta) / 2a
X = (4 +- 0) / 8
x' e x" = 4/8 = 1/2

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p² - 10p + 25 = 0
Delta = b² - 4ac
Delta = 100 - 4(1)(25)
Delta = 100 - 100
Delta = 0
X = (-b +- raiz delta) / 2a
X = (10 +- 0) / 2
x' e x" = 10/2 = 5