Answer: 10 marks
Let the first-test score be \(x\); second-test score \(= x + 10\).
\[5(x + 10) = x^2\]\[x^2 - 5x - 50 = 0\]\[(x - 10)(x + 5) = 0\]\(x = 10\) (marks cannot be negative here). Check: second test 20, \(5 \times 20 = 100 = 10^2\).
Answer: 10 marks
Let the first-test score be \(x\); second-test score \(= x + 10\).
\[5(x + 10) = x^2\]\[x^2 - 5x - 50 = 0\]\[(x - 10)(x + 5) = 0\]\(x = 10\) (marks cannot be negative here). Check: second test 20, \(5 \times 20 = 100 = 10^2\).
Log in or create a free account to answer this question.