z-3 = 2z - 5
Solve by systematic method of algebra.
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Answer:
z = 2
Explanation:
z−3=2z−5
z−3=2z−5At z=0, LHS=0−3=−3, RHS=0−5=−5
z−3=2z−5At z=0, LHS=0−3=−3, RHS=0−5=−5LHS
=RHS
=RHSAt z=1, LHS=1−3=−2, RHS=2(1)−5=−3
=RHSAt z=1, LHS=1−3=−2, RHS=2(1)−5=−3LHS
=RHSAt z=1, LHS=1−3=−2, RHS=2(1)−5=−3LHS
=RHSAt z=1, LHS=1−3=−2, RHS=2(1)−5=−3LHS=RHS
=RHSAt z=1, LHS=1−3=−2, RHS=2(1)−5=−3LHS=RHSAt z=2, LHS=2−3=−1, RHS=2(2)−5=−1
=RHSAt z=1, LHS=1−3=−2, RHS=2(1)−5=−3LHS=RHSAt z=2, LHS=2−3=−1, RHS=2(2)−5=−1LHS=RHS
=RHSAt z=1, LHS=1−3=−2, RHS=2(1)−5=−3LHS=RHSAt z=2, LHS=2−3=−1, RHS=2(2)−5=−1LHS=RHS∴z=2 is the root
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