Question

if a+b= 7 and ab = 12 find the value of
a-b
asq+bsq

Answer 1

Step-by-step explanation:

$a + b = 7 \\ \: squaring \: on \: both \:the \: sides \\ {(a + b)}^{2} = 49 \\ {a}^{2} + {b}^{2} + 2ab = 49 \\ {a}^{2} + {b}^{2} + 2 \times 12 = 49 \\ {a}^{2} + {b}^{2} = 49 - 24 \\ {a}^{2} + {b}^{2} = 25$