Norton Barber
09/15/2024 · Middle School
Question 3 3.1 Given is the quadratic equation: \( m x^{2}-13 x-10=0 \) if one of the roots is 5 , 3.1.1 Use the steps of Polya to solve the equation. You must explain in detail what you are doing in each step. 3.1.2 What challenges may learners experience when solving this problem? (5)
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To solve the quadratic equation \( m x^{2}-13 x-10=0 \) with \( x = 5 \) as a root, substitute \( x = 5 \) into the equation to find \( m \). Solve for \( m \) and verify the solution. Challenges include understanding quadratic equations, substitution errors, isolating variables, verifying solutions, and conceptualizing roots.
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