(1/7)-((3z-7)/5z)

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Solution for (1/7)-((3z-7)/5z) equation:


z in (-oo:+oo)

1/7-(z*((3*z-7)/5)) = 0

(-1*z*(3*z-7))/5+1/7 = 0

(-1*7*z*(3*z-7))/(5*7)+(1*5)/(5*7) = 0

1*5-1*7*z*(3*z-7) = 0

49*z-21*z^2+5 = 0

49*z-21*z^2+5 = 0

49*z-21*z^2+5 = 0

DELTA = 49^2-(-21*4*5)

DELTA = 2821

DELTA > 0

z = (2821^(1/2)-49)/(-21*2) or z = (-2821^(1/2)-49)/(-21*2)

z = (2821^(1/2)-49)/(-42) or z = (2821^(1/2)+49)/42

(z-((2821^(1/2)-49)/(-42)))*(z-((2821^(1/2)+49)/42)) = 0

((z-((2821^(1/2)-49)/(-42)))*(z-((2821^(1/2)+49)/42)))/(5*7) = 0

((z-((2821^(1/2)-49)/(-42)))*(z-((2821^(1/2)+49)/42)))/(5*7) = 0 // * 5*7

(z-((2821^(1/2)-49)/(-42)))*(z-((2821^(1/2)+49)/42)) = 0

( z-((2821^(1/2)+49)/42) )

z-((2821^(1/2)+49)/42) = 0 // + (2821^(1/2)+49)/42

z = (2821^(1/2)+49)/42

( z-((2821^(1/2)-49)/(-42)) )

z-((2821^(1/2)-49)/(-42)) = 0 // + (2821^(1/2)-49)/(-42)

z = (2821^(1/2)-49)/(-42)

z in { (2821^(1/2)+49)/42, (2821^(1/2)-49)/(-42) }

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