Math, asked by udash16, 11 months ago

5z-3/2z=8/9 answers fast

razzkumar96: where are you

Answers

Answered by rohan568

9(5z-3)=8(2z)

45z-27=16z

45z-16z=+27

29z=27

z=27/29

Answered by abdul9838

$<b> <body \: bgcolor = "pink">$

Hola

Hey user here is Ans.

Solution

$\bf \: given \: that \\ \\ \bf \: 5z - \frac{3}{2z} = \frac{8}{9} \\ \\ \bf \: \frac{10 {z}^{2} - 3 }{2z} = \frac{8}{9} \\ \\ \bf \: 9(10 {z}^{2} - 3) = 8 \times 2z \\ \\ \bf \: 90 {z}^{2} - 27 = 16z \\ \\ \bf \: 90 {z}^{2} - 16z - 27 = 0 \\ \\ \bf \huge \: method \: name \\ \bf \underline{completing \: aquare \: method} \\ \\ \bf \: 90 {z}^{2} - 16z - 27 = 0 \\ \\ \bf \: multiplying \: by \: 10 \: into \: both \: sides \\ \\ \bf \: 900 {z}^{2} - 160z - 270 = 0 \\ \\ \bf \: {(30z)}^{2} - 2 \times 30z \times \frac{8}{3} + ( \frac{8}{3} )^{2} - ( \frac{8}{3} )^{2} - 270 = 0 \\ \\ \bf \: (30z - \frac{8}{3} )^{2} - \frac{64}{9} - 270 = 0 \\ \\ \bf \: (30z - \frac{8}{3} )^{2} - \frac{64 - 2430}{9} = 0 \\ \\ \bf \: (30z - \frac{8}{3} )^{2} - \frac{2494}{9} = 0 \\ \\ \bf \: 30z - \frac{8}{3} = \pm \: \sqrt{ \frac{2494}{9} } \\ \\ \bf \: 30z - \frac{8}{3} = \frac{ \sqrt{2494} }{3} \\ \\ \bf \: 30z = \frac{8}{3} + \frac{ \sqrt{2494} }{3} \\ \\ \bf \: 30z = \frac{8 + \sqrt{2494} }{3} \\ \\ \bf \: z = \frac{8 + \sqrt{2494} }{3 \times 30} \\ \\ \bf \: z = \frac{8 + \sqrt{2494} }{90} \\ \\ \bf \: and \\ \\ \bf \: z = \frac{ -(8 + \sqrt{ 2494)}}{90} \: \: ans$

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