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12:29 5G 5 siyavula.com Exactly right. High five! Show the full solution 2. Now, help Mark by solving the equation: \[ 7 b^{2}=5 b \] INSTRUCTION: Give your answer as an integer or as a simplified fraction, whichever is more appropriate. Answer: \[ b=\square \text { or } b= \] \( \square \) Check answer 2 attempts remaining
Ask by Salazar Klein. in South Africa
Feb 08,2025
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Answer
The solutions are \( b = 0 \) or \( b = \frac{5}{7} \).
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To solve the equation \( 7b^{2} = 5b \), we start by rearranging it to set it to zero: \[ 7b^{2} - 5b = 0. \] Now, we can factor out a common term \( b \): \[ b(7b - 5) = 0. \] This gives us two potential solutions: 1. \( b = 0 \) 2. \( 7b - 5 = 0 \) leads to \( b = \frac{5}{7} \). In conclusion, the solutions are: \[ b = 0 \text{ or } b = \frac{5}{7}. \] Now mark those answers with confidence! 🎉