Question

The quadratic equation x² - 2x +1 =0 has

no real roots
Two distinct real roots
Two equal real roots
more than two real roots

Answer 1

Answer:

Two equal real roots

Step-by-step explanation:

b^2 - 4ac = D

(-2)^2 - 4×1×1 = D

4 - 4 = D

0 = D

Therefore, the given quadratic equation has equal real roots.

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Answer 2

A quadratic equation with real coefficients can have either one or two distinct real roots, or two distinct complex roots. In this case the discriminant determines the number and nature of the roots. There are three cases: If the discriminant is positive, then there are two distinct roots.