Quadratic Equations with fractions (Junior Cert Mathematics): Quizzes

📚Quizzes
Revision NotesModel AnswersQuizzesFlashcardsExam Questions
Quadratic Equations with fractions
Sign up to keep practising.Create a free account to play more quizzes and track your progress.

Practise the questions

10 questions from this quiz

Show

What is the first step when solving quadratic equations with fractions?

Eliminate the fractions

For 3x−1+2x+2=1\frac{3}{x-1} + \frac{2}{x+2} = 1, what is the common denominator?

(x−1)(x+2)(x-1)(x+2)

After multiplying by (x−1)(x+2)(x-1)(x+2), what equation results?

3(x+2)+2(x−1)=(x−1)(x+2)3(x+2) + 2(x-1) = (x-1)(x+2)

What does 3(x+2)+2(x−1)3(x+2) + 2(x-1) simplify to?

5x+45x + 4

What is the standard form after rearranging 5x+4=x2+x−25x + 4 = x^2 + x - 2?

x2−4x−6=0x^2 - 4x - 6 = 0

In x2−4x−6=0x^2 - 4x - 6 = 0, what is the value of bb?

−4-4

What does 40\sqrt{40} simplify to?

2102\sqrt{10}

What are the final solutions for x2−4x−6=0x^2 - 4x - 6 = 0?

x=2±10x = 2 \pm \sqrt{10}

Why multiply every term by the common denominator?

To remove all fractions

What does 4±2102\frac{4 \pm 2\sqrt{10}}{2} simplify to?

2±102 \pm \sqrt{10}

Explore Junior Cert Mathematics Revision Notes by Topics

The Basics

Solving Equations

Simultaneous Equations

Explore Junior Cert Mathematics Model Answers by Topics

The Basics

Solving Equations

Simultaneous Equations

Explore Junior Cert Mathematics Flashcards by Topics

The Basics

Solving Equations

Simultaneous Equations

Explore Junior Cert Mathematics Exam Questions by Topics

The Basics

Solving Equations

Simultaneous Equations

Join 100,000+ Junior Cert students studying Quizzes with us.

Select your subjects, and get access to A+ resources today.