AQA · Mathematics · 8300
GCSE Maths: Equations: x squared
Algebra · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths textbook exercise for Equations: x squared (Corbettmaths Video 116), and every card links back to the exact page it came from. Practice tests generate fresh variations of these questions, so the numbers change every attempt. Source material © Corbettmaths — used with attribution.
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What are the two solutions to x² = 9?
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x = 3 or x = −3
Why is Matt wrong when he says the only answer to x² = 4 is x = 2?
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Because x = −2 is also a solution, since (−2)² = 4.
How do you solve x² + 7 = 32?
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Subtract 7 from both sides to get x² = 25, then take square roots: x = 5 or x = −5.
What value of k makes the equation x² = k have exactly 1 solution?
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k = 0
How do you solve 2x² = 50?
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Divide both sides by 2 to get x² = 25, then take square roots: x = 5 or x = −5.
Why is Walter incorrect when he says the side length of a square with area 169 cm² is 13 cm or −13 cm?
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Because a length cannot be negative; only x = 13 cm is valid in this context.
How do you solve (x + 9)² = 256?
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Take square roots of both sides: x + 9 = ±16, then solve for x: x = 7 or x = −25.
When solving x² = k where k > 0, there are ? solutions.
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two
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