Question

if a + b is equal to 9 ab is equal to minus 22 to find a minus b and a square minus b square​

Answer 1

Answer:

13, 117

Step-by-step explanation:

$a + b = 9 \\ \\ ab = - 22 \\ \\ {x}^{2} - {y}^{2} = (x + y)(x - y) \\ \\ {(x + y)}^{2} = {x}^{2} + {y}^{2} + 2xy \\ \\ {(x - y)}^{2} = {x}^{2} + {y}^{2} - 2xy \\ \\ = > {(x - y)}^{2} = {(x + y)}^{2} - 4xy \\ \\ = > |x - y| = \sqrt{ {(x + y)}^{2} - 4xy} \\ \\ = > |a - b| = \sqrt{ {9}^{2} - 4( - 22)} \\ \\ = > |a - b| = \sqrt{81 + 88} \\ \\ = > |a - b| = \sqrt{169} \\ \\ = > |a - b| = 13 \\ \\ {a}^{2} - {b}^{2} = (a + b)(a - b) \\ \\ = > {a}^{2} - {b}^{2} = 13 \times 9 \\ \\ = > {a}^{2} - {b}^{2} = 117$

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