For x² − 6x + 9 = 0, find D and the nature of roots.
AD<0, no real roots
BD>0, distinct roots
CD=36, distinct roots
DD=0, equal roots
Answer & Solution
Correct answer: D. D=0, equal roots
D = 36 − 36 = 0. The equation has equal real roots (x = 3 twice).
Keep practising Quadratic Equations
Browse all Quadratic Equations questions for Andhra Pradesh SSC (Class 10), or explore more Mathematics topics.
Related questions
The area of a rectangle is 60 sq cm and length exceeds breadth by 4 cm. Breadth isSolve by completing the square: x^2 + 6x + 5 = 0. Roots areIf alpha and beta are roots of x^2 - 7x + 10 = 0, then alpha + beta + alpha*beta equalsA train covers 360 km at uniform speed. If the speed were 5 km/h more, it would take 1 houThe product of two consecutive positive odd numbers is 143. The numbers areIf one root of x^2 - 6x + k = 0 is 2, then k equalsThe sum of squares of two consecutive positive integers is 113. The integers areFor what k does x^2 + kx + 9 = 0 have equal roots?