Quadratic Equations with fractions (Junior Cert Mathematics): Quizzes

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

Eliminate the fractions

How do you eliminate fractions from a quadratic equation?

Multiply by common denominator

What is the common denominator for 3x−1+2x+2=1\frac{3}{x-1} + \frac{2}{x+2} = 1?

(x−1)(x+2)(x-1)(x+2)

After multiplying by the common denominator, what equation results?

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

After expanding and simplifying, what equation do you get?

5x+4=x2+x−25x + 4 = x^2 + x - 2

What is the standard quadratic form of the equation?

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 value is under the square root in the −b-b formula for this equation?

4040

What does 40\sqrt{40} simplify to?

2102\sqrt{10}

What are the final solutions to the equation?

x=2±10x = 2 \pm \sqrt{10}

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