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7. solve, state non - permissible values: $\frac{5}{h}h^{2}=\frac{3}{2}…

Question

  1. solve, state non - permissible values: $\frac{5}{h}h^{2}=\frac{3}{2}×h$

Explanation:

Step1: Identify non-permissible values

A denominator cannot equal 0, so $h
eq 0$.

Step2: Cross-multiply to eliminate fractions

$$5 \times 2 = 3h$$

Step3: Simplify left side

$$10 = 3h$$

Step4: Isolate $h$

$$h = \frac{10}{3}$$

Answer:

Non-permissible value: $h
eq 0$
Solution: $h = \frac{10}{3}$