write the quadratic equation whose roots are 2 and 4
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Step-by-step explanation:
Let
a = 2 and b = 4
a + b = 2 + 4 = 6
a × b = 2 × 4 = 8
Therefore, the required quadratic equation is
x² - (a + b)x + ab = 0
x² - 6x + 8 = 0
Hence, x² - 6x + 8 =0 is the quadratic equation whose roots are 2 and 4.
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