Tick ( ) the correct answer: If (a - b) = 7 and ab = 9, then (a^2… - Vidyadip

MCQ

Tick $(\checkmark)$ the correct answer: If $(a - b) = 7$ and $ab = 9,$ then $(a^2 + b^2) = ?$

✓
$67$
B
$31$
C
$40$
D
$58$

✓

Answer

Correct option: A.

$67$

A. $67$
Solution:
$a - b = 7$
$ab = 9$
$a^2+ b^2 = (a - b)^2+ 2ab$
$= (7)^2 + 2 \times 9$
$= 49 + 18$
$= 67$

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