Quadratic Equations with fractions (Junior Cert Mathematics): Flashcards

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Quadratic Equations with fractions
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First step: quadratic equations with fractions

Eliminate the fractions

How to eliminate fractions from quadratic eqn

Multiply all terms by common denominator

Why multiply by common denominator?

To eliminate all fractions from the equation

Step after clearing fractions in quadratic eqn

Expand and simplify

Where to move all terms in quadratic?

To one side to get standard form (ax2+bx+c=0ax^2 + bx + c = 0)

Standard quadratic form

ax2+bx+c=0ax^2 + bx + c = 0

Method to solve standard quadratic eqn

−b-b formula

Values to identify for −b-b formula

aa, bb, cc from ax2+bx+c=0ax^2 + bx + c = 0

Form of solutions (x=2±10x = 2 \pm \sqrt{10})

Exact form (with radicals/surds)

4 steps: eliminate, expand, rearrange, ?

Solve using −b-b formula

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