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Class 9MathematicsExploring Algebraic IdentitiesQuadratic expressionsHardLevel 74
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When (x^2+2x+5) is written in the form ((x+a)^2+b), what is (a+b)?

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Answer and explanation

Correct answer: (5)

(x^2+2x+5=(x+1)^2+4), so (a+b=5). Exam tip: complete the square and add the remaining constant.

Related tags

Completed SquareQuadratic ExpressionIdentity

Frequently asked questions

What is the correct answer to this question?

(5)

Why is this the correct answer?

(x^2+2x+5=(x+1)^2+4), so (a+b=5). Exam tip: complete the square and add the remaining constant.

Which subject and chapter does this question cover?

This is a Class 9 Mathematics question. Chapter: Exploring Algebraic Identities. Topic: Quadratic expressions.

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  3. 3If a, b and c are constants, which condition is necessary for \(ax^2+bx+c\) to be a quadratic expression in x?
  4. 4If a quadratic expression has the general form \(ax^2+bx+c\), which condition on \(a\) is necessary for it to be quadratic?
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  6. 6Which of the following quadratic expressions can be factorised using the identity for the difference of two squares?
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  8. 8Under which condition can the quadratic trinomial \(x^2+px+q\) be classified as a perfect-square trinomial?
  9. 9Which is the expansion of ((x+3)(x+2))?
  10. 10Which of the following expressions can be written as a difference of squares of two binomials?
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