Solve the equation and verify your answer:((x+2) (2x-3) – 2x2 + 6)

1.	Solve the equation and verify your answer:((x+2) (2x-3) – 2x2 + 6)/(x-5) = 2
Answer» We have, ((x+2) (2x-3) – 2x² + 6)/(x-5) = 2 By cross-multiplying we get, (x+2) (2x-3) – 2x² + 6) = 2(x-5) 2x² – 3x + 4x – 6 – 2x² + 6 = 2x – 10 x = 2x – 10 x – 2x = -10 -x = -10 x = 10 Now let us verify the given equation, ((x+2) (2x-3) – 2x² + 6)/(x-5) = 2 By substituting the value of ‘x’ we get, ((10+2) (2(10) – 3) – 2(10)² + 6)/ (10-5) = 2 (12(17) – 200 + 6)/5 = 2 (204 – 194)/5 = 2 10/5 = 2 2 = 2 Hence, the given equation is verified.

Solve the equation and verify your answer:((x+2) (2x-3) – 2x2 + 6)/(x-5) = 2

Answer»

We have,

((x+2) (2x-3) – 2x² + 6)/(x-5) = 2

By cross-multiplying we get,

(x+2) (2x-3) – 2x² + 6) = 2(x-5)

2x² – 3x + 4x – 6 – 2x² + 6 = 2x – 10

x = 2x – 10

x – 2x = -10

-x = -10

x = 10

Now let us verify the given equation,

((x+2) (2x-3) – 2x² + 6)/(x-5) = 2

By substituting the value of ‘x’ we get,

((10+2) (2(10) – 3) – 2(10)² + 6)/ (10-5) = 2

(12(17) – 200 + 6)/5 = 2

(204 – 194)/5 = 2

10/5 = 2

2 = 2

Hence, the given equation is verified.