If a + b = 7 and ab = 12, find a² + b².
A37
B24
C49
D25
Answer & Solution
Correct answer: D. 25
1. (a+b)² = a² + 2ab + b² → 49 = a² + b² + 24.
2. a² + b² = 25.
_Source: TSICET 2024 PYQ Q.93 (Shift 1, Algebra)_
Related questions
A rule counting sign changes to bound the number of positive real zeros belongs to:A single point where a rational graph is undefined, shown by an open circle, is a hole or A horizontal line that a graph approaches as inputs grow without bound is a horizontal:A vertical line that a graph rushes towards but never crosses is a vertical:A polynomial with real coefficients has 2 plus 3i as a zero, so it must also have as a zerFor a rational zero, numerators come from factors of the constant term and denominators frA polynomial takes a negative value at 3 and a positive value at 4, so between them it musA graph crosses straight through the x-axis at a zero. That zero has multiplicity that is: