Question

wiecie jak obliczyc rówanie kwadratowe?

Answer 1

g)

x^2 = ( 1 - x)*( 1 + x)

x^2 = 1 - x^2

2 x^2 = 1

x^2 = 1/2

x = - p(1/2) = - 1/p(2) = - p(2)/2

lub

x = p(2)/2

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p(2) - pierwiastek kwadratowy z 2

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h)

( x - 1)^2 - 1 = 0

( x - 1)^2 = 1

x - 1 = - 1     lub    x - 1 = 1

x = - 1 = 1 = 0    lub  x = 1 + 1 = 2

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II sposób:

( x - 1)^2 - 1 = 0

x^2 - 2x + 1 - 1 = 0

x^2 - 2 x = 0

x*(x - 2) = 0

x = 0  lub  x - 2 = 0

x = 0  lub  x = 2

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j )

(2x + 3)^2 = ( x - 3)^2

4 x^2 + 12 x + 9 = x^2 - 6 x + 9

3 x^2 + 18 x = 0  / : 3

x^2 + 6 x = 0

x*( x + 6) = 0

x = 0  lub  x + 6 = 0

x = 0  lub  x = - 6

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