Home › IBPS RRB › Quantitative Aptitude › Quadratic Equations › If x² − 15x + 56 = 0 and y = √64, establish the …
If x² − 15x + 56 = 0 and y = √64, establish the relation between x and y.
Ax ≤ y
Bx ≥ y
Cx > y
Dx < y
Answer & Solution
Correct answer: A. x ≤ y
1. x² − 15x + 56 = 0 factors as (x − 7)(x − 8) = 0, so x = 7 or 8.
2. y = √64 = 8 (principal square root).
3. Both possible x values (7 and 8) are ≤ 8, so **x ≤ y**.
_Source: IBPS RRB Officer Scale I Prelims PYQ (Examrace), Q.41_
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?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 equals