Question

Jim and Tim were studying progressions and their properties. They wrote a quadratic equation, ax2 - 2bx + C = 0 and assumed that a, b, and c
were in GP. They both had their own theories about the nature of the roots. Tim claimed that the equation had real roots and that the roots
were unequal and distinct while Jim claimed that the roots were imaginary.
Which of the following statements is true?
O Tim was correct
O Jim was correct
O Both Tim and Jim were correct
O Neither Tim nor Jim was correct.​

Answer 1

Answer:

both are correct

ok

please follow

Answer 2

Answer:

Jim was correct.

The roots are imaginary

Step-by-step explanation:

Tip:

• For the quadratic equation $ax^{2} +bx+c=0$,

      $b^{2} -4ac\geq 0$  for real roots

Step 1 of 1:

• Since a, b, c are in GP .then  $b^{2} =ac$
• the value of   $b^{2} -4ac\geq 0$

        $=b^{2} -4b^{2} \\=-3b^{2} < 0$

• The roots are imaginary