Solving quadratics
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Flip to reveal answersHow do you solve a quadratic by factorising?
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All 9 Flashcards — Solving quadratics
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Question
How do you solve a quadratic by factorising?
Answer
Set it to = 0, write as two brackets, then set each bracket to zero.
Question
State the quadratic formula.
Answer
x = (−b ± √(b² − 4ac)) / (2a), for ax² + bx + c = 0.
Question
Before factorising or using the formula, what must you do?
Answer
Rearrange the equation so one side is 0.
Question
How do you solve (x − h)² = n?
Answer
Square-root both sides with ±: x − h = ±√n, then solve.
Question
Why keep the ± when rooting?
Answer
A square has two roots; dropping ± loses a solution.
Question
Which method always works for any quadratic?
Answer
The quadratic formula.
Question
When should you use the GDC to solve?
Answer
On Paper 2 — use the equation solver or read the x-intercepts.
Question
Solve x² − 5x + 6 = 0.
Answer
(x − 2)(x − 3) = 0 ⇒ x = 2 or 3.
Question
How do you read a, b, c for the formula?
Answer
From ax² + bx + c = 0 (set to zero first); keep their signs.
Read the notes
Full study notes for Solving quadratics
Topic 2.7 hub
Quadratic equations & discriminant
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