1.

Find the solutions of the quadratic equation x2 + 6x + 5 = 0.

Answer»

The quadratic polynomial x2 + 6x + 5 can be facorised as follows :-

x2 + 6x + 5 = x2 + 5x + x + 5

= x(x + 5) + 1 (x + 5) = (x + 5) (x + 1)

Therefore the given quadratic equation becomes (x + 5) (x + 1) =

This gives x = - 5 or = - 1

Therefore, x = - 1 are the required solutions of the given equation.



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