Question

(2x+1)² -4 (x-3)² = 5x + 10 Find the value of x , step by step explanation please.​

Answer 1

Answer:

• The value of x is 45/23.

Given:

• (2x + 1)² - 4 (x - 3)² = 5x + 10

To find:

• The value of x.

Solution:

=> (2x + 1)² - 4 (x - 3)² = 5x + 10

=> 4x² + 4x + 1 - 4 (x² - 6x +9) = 5x + 10

=> 4x² + 4x + 1 - 4x² + 24x - 36 = 5x + 10

=> 23x = 45

=> x = 45/23

Therefore, the value of x is 45/23.

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Extra information:

• (a - b)² = (a + b)² - 4ab

• (a + b)² = (a - b)² + 4ab

• (a + b)² + (a - b)² = 2 (a² + b²)

• (a + b)² - (a - b)² = 4ab

Answer 2

AnswEr :-

• Value of x is 45/23.

Given :-

• (2x + 1)² - 4 (x - 3)² = 5x + 10

To Find :-

• Value of x

Solution :-

» (2x + 1)² - 4 (x - 3)² = 5x + 10

→ (2x)² + 2.2x.1 + (1)² - 4 { (x)² + (3)² - 2.x.3 = 5x + 10

→ 4x² + 4x + 1 - 4 { x² + 9 - 6x } = 5x + 10

→ 4x² + 4x + 1 - 4x² - 36 + 24x = 5x + 10

→ 4x + 1 - 36 + 24x = 5x + 10

→ 28x - 35 = 5x + 10

→ 28x - 5x = 10 + 35

→ 23x = 45

→ x = 45/23

Hence, the value of x is 45/23.

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More To Know :-

• (a + b)² = a² + b² + 2ab

• (a - b)² = a² + b² - 2ab

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