SZF IOM · Mathematics

Quadratic Equations

Standard form, factorisation, quadratic formula, nature of roots, word problems.

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  • Q1 · Quadratic Equations · EASY

    If one root of the quadratic equation x² - 7x + k = 0 is 3, then what is the value of k?

  • Q2 · Quadratic Equations · EASY

    The sum of the roots of the quadratic equation 2x² - 6x + 3 = 0 is:

  • Q3 · Quadratic Equations · MEDIUM

    Find the nature of the roots of the quadratic equation 3x² - 5x + 4 = 0.

  • Q4 · Quadratic Equations · HARD

    A two-digit number is such that the product of its digits is 18. When 63 is subtracted from the number, the digits interchange their places. Find the number.

  • Q5 · Quadratic Equations · MEDIUM

    If α and β are the roots of the equation 2x² - 5x + 3 = 0, then the value of (1/α + 1/β) is:

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