Multiple choice

State True or False Following quadratic equation has equal solutions (equivalent equations). $x^2 - 1 = 0\ and\ x^2 = - 1$

  1. True

  2. False
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The equation x^2 - 1 = 0 has solutions x = 1 and x = -1. The equation x^2 = -1 has solutions x = i and x = -i. Since the solution sets are different, the statement is false.

AI explanation

The first equation x^2 - 1 = 0 gives x^2 = 1, yielding solutions x = 1 and x = -1. The second equation x^2 = -1 yields solutions x = i and x = -i, which are imaginary. Because the solutions are not the same, the statement is False.

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