Question

Fill in the blank: If b² - 4ac > 0 for "ax² + bx + c", then the roots of the quadratic equation are ________.*

1️⃣ two distinct real roots
2️⃣ two equal real roots
3️⃣ no real roots​

Answer 1

i think the answer will be option {2}

Answer 2

Two distinct real roots.

• There are three conditions regarding the value of b² - 4ac.
• The first condition is when b² - 4ac<0, in this condition the roots of the quadratic equation are imaginary.
• The second condition is b² - 4ac=0, in this condition the roots of the quadratic equation are equal and real.
• The third condition is b² - 4ac>0, in this condition the roots of the equation are distinct and real.