Neco 2025 Mathematics Question 7

Practice essay / theory question 7 from the 2025 Neco Mathematics examination. This question covers Quadratic Equations .

Neco 2025 Mathematics Essay / Theory

Topic: Quadratic Equations

Question 7 NECO • 2025 • MATHEMATICS • essay

A rectangular garden has its length (in metres) represented by \(x\), where \(x\) satisfies the quadratic equation \(2x^{2} - 12x + 7 = 0\).

Question Parts

( a )

Find the exact values of \(x\) (the possible lengths) in simplest surd form.

( b )

The area of the garden is given by \(A = x(3x - 5)\). Using the value(s) of \(x\) from part (a), determine the possible area(s) of the garden. Express each area in simplest exact form.

( c )

Only the length that yields a positive area is physically meaningful. State the feasible length and its corresponding area, and explain why the other solution is rejected.

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About This Question

This is Neco 2025 Mathematics Question 7. It is one of the essay questions from the 2025 Neco Mathematics examination.

The question covers Quadratic Equations .

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