X square + 4 / x square minus 4 is equals to 4 upon 5
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Given (x^2 + 4)/(x^2 - 4) = 4/5
On cross-multiplication, we get
5(x^2 + 4) = 4(x^2 - 4)
5x^2 + 20 = 4x^2 - 16
5x^2 = 4x^2 - 16 - 20
5x^2 = 4x^2 - 36
5x^2 - 4x^2 = - 36
x^2 = -36
x = 6i (or) -6i.
Hope this helps!
On cross-multiplication, we get
5(x^2 + 4) = 4(x^2 - 4)
5x^2 + 20 = 4x^2 - 16
5x^2 = 4x^2 - 16 - 20
5x^2 = 4x^2 - 36
5x^2 - 4x^2 = - 36
x^2 = -36
x = 6i (or) -6i.
Hope this helps!
Answered by
1
This question is somewhere wrong as there is no negative square number. Answer comes 6i
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