Question

Please answer my question​

Answer 1

Answer:

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Answer 2

${ \boxed{ \boxed{ \bold \red{a = 3 \: and \:b = 1}}}}$

Since x + 2 is a factor of x² + ax + 2b = 0, we have,

(-2)² + a(-2) +2b=0

⇒4-2a + 2b =0

⇒4=2a-2b

⇒ 2a-2b = 4

⇒a-b=2

Given that a+b=4

Adding the two equations, a-b=2 and a + b = 4, we have,

2a=6

⇒a=6/2

⇒a=3

Since a + b = 4, we have, b = 1