Neco 2021 Mathematics Question 5

Practice essay / theory question 5 from the 2021 Neco Mathematics examination. This question covers Algebraic Expressions .

Neco 2021 Mathematics Essay / Theory

Topic: Algebraic Expressions

Question 5 NECO • 2021 • MATHEMATICS • essay

Let \(x\) and \(y\) be integers such that \(x + y = 7\), \(xy = 10\) and \(x > y\). Define the expression \(E = 3x^{2} - 5x + 2y - xy\).

( a )

Find the ordered pair \((x, y)\) that satisfies the given conditions.

( ) Form a quadratic equation whose roots are \(x\) and \(y\).

( ) Solve the quadratic, using the condition \(x > y\) to select the ordered pair.

( b )

Using the values of \(x\) and \(y\) obtained, evaluate \(E\).

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This is Neco 2021 Mathematics Question 5. It is one of the essay questions from the 2021 Neco Mathematics examination.

The question covers Algebraic Expressions .

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