Home › ICSE Class 10 › mathematics › Quadratic Equations › Solve by factorisation: x^2 - 5x + 6 = 0. Roots …
Solve by factorisation: x^2 - 5x + 6 = 0. Roots are
A2 and 3
B1 and 6
C-2 and -3
D-1 and -6
Answer & Solution
Correct answer: A. 2 and 3
1. Factor x^2 - 5x + 6 as (x - 2)(x - 3).
2. Set each factor equal to zero.
3. x = 2 or x = 3.
4. Roots are 2 and 3.
_Source: Selina Concise Mathematics Class 10, Ch 5 Quadratic Equations (Mistral OCR'd PDF), section on factorisation_
Related questions
If x² − 9 = 0, then x =Roots of x² − 5x + 6 = 0 are:Two times a number, added to the square of that number, gives 3. What could the number be?If 4x² + 12x + 9 = 0 and 2y² + 11y + 14 = 0, establish the relation between x and y.If x² − 6x + 9 = 0 and y² − 3y − 18 = 0, what is the relation between x and y?If x² − 15x + 56 = 0 and y = √64, establish the relation between x and y.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 are