Question

if a-b=3 and ab=40,find a^2+b^2​

Answer 1

Answer:

89

Step-by-step explanation:

${(a - b)}^{2} = {a}^{2} + {b}^{2} - 2ab \\ = > {3}^{2} = {a}^{2} + {b}^{2} - 2 \times 40 \\ = > 9 = {a}^{2} + {b}^{2} - 80 \\ = > - {a}^{2} + {b}^{2} = - 89 \\ {a}^{2} + {b}^{2} = 89$

Answer 2

this is the complete procedure