summary for the chapter equations in mathematics
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Chapter summary (EMA3K) A quadratic equation has at most two solutions. To solve for two unknown variables, two equations are required. These equations are known as a system of simultaneous equations. There are two ways to solve linear simultaneous equations: algebraic solutions and graphical solutions
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If the number6^n6
n
ends with the digit zero (0), then it should be divisible by 5, as we know any number with a unit place as 0 or 5 is divisible by 5.
Prime factorization of
Therefore, the prime factorization of 6n doesn’t contain prime number 5.
Hence, it is clear that for any natural number n, 6^n6
n
is not divisible by 5 and thus it proves that cannot end with the digit 0 for any natural number n
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