Solving quadratic equations

Solving quadratic equations Quiz

Spec B3 · AQA A-Level Maths: Quiz

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5 questions, one answer each

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  1. 1. Solve x2−5x+6=0x^2-5x+6=0.

    • A. x=−2x=-2 or x=−3x=-3
    • B. x=1x=1 or x=6x=6
    • C. x=2x=2 or x=3x=3
    • D. x=−1x=-1 or x=−6x=-6
  2. 2. Solve 3x2+x−2=03x^2+x-2=0.

    • A. x=23x=\frac23 or x=−1x=-1
    • B. x=−23x=-\frac23 or x=1x=1
    • C. x=2x=2 or x=−13x=-\frac13
    • D. x=13x=\frac13 or x=−2x=-2
  3. 3. Solve x2+6x+4=0x^2+6x+4=0, giving exact answers.

    • A. x=−3±5x=-3\pm\sqrt5
    • B. x=3±5x=3\pm\sqrt5
    • C. x=−6±5x=-6\pm\sqrt5
    • D. x=−3±13x=-3\pm\sqrt{13}
  4. 4. How many real solutions does x4−5x2−36=0x^4-5x^2-36=0 have?

    • A. 44
    • B. 33
    • C. 00
    • D. 22
  5. 5. Solve x−5x+4=0x-5\sqrt x+4=0 for x≥0x\geq0.

    • A. x=1x=1 or x=4x=4
    • B. x=4x=4 or x=16x=16
    • C. x=1x=1 or x=16x=16
    • D. x=−1x=-1 or x=−4x=-4

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