Home › TS EAMCET › Mathematics › Quadratic Equations › When does x² - 2x + c = 0 have two distinct real…
When does x² - 2x + c = 0 have two distinct real roots?
Ac > 1
Bc ≥ 1
Cc < 1
Dc = 1
Answer & Solution
Correct answer: C. c < 1
The discriminant 4 - 4c must be positive, so c < 1.
Related questions
If a + b + c = 0, one root of ax² + bx + c = 0 isWhat is the range of x² + x + 1 over the real numbers?After which mathematician are the root-coefficient formulas named?Counting multiplicity, how many complex roots does a quadratic have?The discriminant of ax² + bx + c equals which expression of the roots α, β?In the form a(x - h)² + k, which point is the vertex?The word quadratic comes from a Latin word meaning what?If a = 0 and b is not zero in ax² + bx + c = 0, the equation is