Find the value of z, if 5 z-3 . 32z-8 = 225
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Given 5z-3 * 32z-8=225
32z-8=225/5z-3
32z=225/5z-3 + 8
32z=225+8(5z-3)/5z-3
32z=225+40z-24/5z-3
32z=201+40z/5z-3
32z(5z-3)=201+40z
160z^2 -96z=201+40z
160z^2 -96z-40z=201
Solving the quadratic equation i got two values: 1.62 & -0.77
if we consider -0.77 the answer is not possible ,so considering the value 1.62,we get:
5(1.62)-3 * 32(1.62)-8 = (8.1)-3 * (51.84)-8 = 5.1 * 43.84 = 223.584 which is approximately equal to 225
32z-8=225/5z-3
32z=225/5z-3 + 8
32z=225+8(5z-3)/5z-3
32z=225+40z-24/5z-3
32z=201+40z/5z-3
32z(5z-3)=201+40z
160z^2 -96z=201+40z
160z^2 -96z-40z=201
Solving the quadratic equation i got two values: 1.62 & -0.77
if we consider -0.77 the answer is not possible ,so considering the value 1.62,we get:
5(1.62)-3 * 32(1.62)-8 = (8.1)-3 * (51.84)-8 = 5.1 * 43.84 = 223.584 which is approximately equal to 225
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