Odpowiedź:
Szczegółowe wyjaśnienie:
c)
2-√2 x = x-4
-x -x√2 = -4-2 /*(-1)
x+x√2 = 6
x(√2+1) = 6
x = 6/((√2+1) = 6*(√2-1)/[(√2-1)*(√2+1)] = 6(√2-1)/(2-1) = 6√2-6
d)
2x+3+x√3 = 4
x(2+√3) = 4-3 = 1
x = 1/(2+√3) = (2-√3)/[(2+√3)(2-√3)] = (2-√3)/(4-3) = 2-√3
f)
√5(x-√5) = 10-x
x√5-5 = 10-x
x√5+x = 10+5 = 15
x(√5+1) = 15
x = 15/(√5+1) = 15(√5-1)/[(√5+1)(√5-1)] = 15(√5-1)/(5-1) = 15(√5-1)/4
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Odpowiedź:
Szczegółowe wyjaśnienie:
c)
2-√2 x = x-4
-x -x√2 = -4-2 /*(-1)
x+x√2 = 6
x(√2+1) = 6
x = 6/((√2+1) = 6*(√2-1)/[(√2-1)*(√2+1)] = 6(√2-1)/(2-1) = 6√2-6
d)
2x+3+x√3 = 4
x(2+√3) = 4-3 = 1
x = 1/(2+√3) = (2-√3)/[(2+√3)(2-√3)] = (2-√3)/(4-3) = 2-√3
f)
√5(x-√5) = 10-x
x√5-5 = 10-x
x√5+x = 10+5 = 15
x(√5+1) = 15
x = 15/(√5+1) = 15(√5-1)/[(√5+1)(√5-1)] = 15(√5-1)/(5-1) = 15(√5-1)/4