Answer:
roots are real and equal
Explanation:
the determinant of a quadratic equation , allows the nature of the roots to be determined without solving the equation.
given a quadratic equation in standard form
ax² + bx + c = 0 ( a ≠ 0 ) , then
the determinant is defined as b² - 4ac
• if b² - 4ac > 0 , then the roots are real and irrational
• if b² - 4ac > 0 and a perfect square , then roots are real and rational
• if b² - 4ac = 0 , then roots are real and equal
• if b² - 4ac < 0 , then the roots are not real
Thus if the discriminant is equal to zero , then the roots are real and equal