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Factorise the expression x 2 −10x−1

Question

Factorise the expression x 2 −10x−1

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Solution

To factorise the quadratic expression x^2 - 10x - 1, we need to find two numbers that multiply to -1 (the constant term) and add to -10 (the coefficient of the x term).

Unfortunately, there are no two such real numbers. Therefore, the expression x^2 - 10x - 1 cannot be factorised using real numbers.

However, if we use the quadratic formula, we can find the roots of the equation x^2 - 10x - 1 = 0, which are (10 ± sqrt(100 + 4))/2 = 5 ± sqrt(26).

So, the factorised form of the expression using complex numbers would be x = 5 + sqrt(26), 5 - sqrt(26).

This problem has been solved

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