Question

a²+b²=52&ab=24 find the value of a-b​

Answer 1

Answer:

${(a - b)}^{2} = {a}^{2} + {b}^{2} - 2ab \\ {(a - b)}^{2} = ( {a}^{2} + {b}^{2} ) - 2ab \\ {(a - b)}^{2} = 52 -( 2 \times 24) \\ {(a - b)}^{2} = 52 - 48 \\ {(a - b)}^{2} = 4 \\ (a - b) = \sqrt{4} \\ \boxed{ (a - b) = ±2}$

• (a - b) = ±2 is the right answer.