1.

State whether the quadratic equation(x + 4)2– 8x = 0have two distinct real roots. Justify your answer.

Answer»

The equation (x + 4)2– 8x = 0 has no real roots.

Simplifying the above equation,

x2+ 8x + 16 – 8x = 0

x2+ 16 = 0

D = b2– 4ac

=(0) – 4(1) (16) < 0

Hence, the roots are imaginary.



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