Hi there! Have questions about your homework? At Brainly, there are 60 million students who want to help each other learn. Questions are usually answered in less than 10 minutes. Try it for yourself by posting a question! :D

Hi there! Have questions about your homework? At Brainly, there are 60 million students who want to help each other learn. Questions are usually answered in less than 10 minutes. Try it for yourself by posting a question! :D

1). a+b = 5 ----------(1) And, a-b = 4 --------(2) On adding equation (1) and (2) ⇒ 2a = 9 ⇒ a = 9/2 From equation (1), b = 5 - 9/2 so, b = 1/2 Now, a²+b² = (9/2)²+(1/2)² a²+b² = 82/4 = 20.5

2). (x+a)(x+b) = x²-5x-300 ⇒ x²+(a+b)x +ab = x²-5x-300 On equating the co-efficient of x and constant term, a+b = -5 ----------(1) and, ab = -300 ---------(2) From equation (1) a+b = -5 squaring both side of this eqn ⇒ (a+b)² = -5 ⇒ a²+b²+2ab = -5 Put the value of ab from eqn (2) a²+b²+2(-300) = -5 ⇒ a²+b² -600 = -5 ⇒ a²+b² = -5+600 = 595