Question

if a-b=9 and ab=4, find the value of a^2+b^2

Answer 1

Step-by-step explanation:

a+b=9

Squaring both the sides

=>a²+b²+2ab=81

Substituting value of 'ab' in equation

=>a²+b²+2*4=81

=>a²+b²=73

Answer 2

Step-by-step explanation:

$\huge\begin{lgathered}\frak\red{answEr}\end{lgathered}$

$\mathfrak\blue{given::}$

➡️ a-b = 9

➡️ ab = 4

$\mathfrak\orange{to find::}$

➡️ a²+b²

_______________________________________

we know the following identity::

${(a - b)}^{2} = {a}^{2} + {b}^{2} - 2ab$

replacing values,,

(a-b)²=a²+b²-2ab

➡️ (9)² = a²+b² - 2×4

➡️ 81 = a²+b²-8

➡️ a²+b² = 89

so,

89 is the final answer

hope this helps

@jtg07♥️♥️