Question

2) a) If 2x2+x+5 and 2x2+4x-19 have a common
factor (x-b), then show that the value of b is
equal to 8.​

Answer 1

31,−

7

5

Given System of Equations are:

2x+y=23 ...(1)

4x−y=19 ...(2)

Now adding both the equation will have:

6x=42

x=7

Now substituting x=7 in in equation (1)

⇒2(7)+y=23

⇒14+y=23

⇒y=9

Now substituting x=7 and y=9 in 5y−2x

⇒5(9)−2(7)

⇒45−14

⇒31

Now Substituting Now substituting x=7 and y=9 in

x

y

−2

⇒

7

9

−2

⇒

7

9−14

⇒

7

−5

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