Quadratic Equations Practice 2: Formula And Discriminant

Practise focused skills from Quadratic Equations

MathematicsGrade 10Mixed10 questions20 min

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Section A: Formula Practice · 5 questionsSection B: Discriminant Reasoning · 5 questions

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Build and apply the key ideas for this part of the chapter.

Choose the best answer for each question.

Question 1

EasyQuestion

For $x^2-5x+6=0$ , what are $a,b,c$ ?

Topic: Quadratic Formula · Skill: Apply the quadratic formula

Question 2

MediumQuestion

Using the quadratic formula, the roots of $x^2+4x+1=0$ are:

Topic: Quadratic Formula · Skill: Apply the quadratic formula

Question 3

MediumQuestion

Simplify the roots from $x=\frac{6\pm\sqrt{48}}{4}$ .

Topic: Quadratic Formula · Skill: Simplify surd roots

Question 4

AdvancedQuestion

The equation $2x^2-4x-1=0$ has roots:

Topic: Quadratic Formula · Skill: Simplify surd roots

Question 5

EasyQuestion

Find the discriminant of $x^2-6x+9=0$ .

Topic: Discriminant · Skill: Calculate the discriminant

Apply the quadratic formula, simplify surd roots and use the discriminant to decide root nature.

Apply the quadratic formula, Simplify surd roots, Calculate the discriminant, Determine nature of roots, Find unknown parameter using nature of roots