Question

Solve for x: (2x+6)square = xsquare+(2x+4)square

Answer 1

Answer:

(2x+6)square =x square +(2x+4)

4x square +36 +24x =x square +4x square +16 +16x

4x square- 4x square +36-16 =16x-24x

20= -8x

x = - 20/8

x = - 5/2

x = - 2.5

Answer 2

➡ (2x + 6)² = x²+ (2x + 4)²

• (a + b)² = a² + b² + 2a

➡ (2x)²+ (6)² + 2(2x)(6) = x²+ (2x)²+ (4)² + 2(2x)(4)

➡ 4x² + 36 + 24x = x² + 4x² + 16 + 16x

➡ 4x² + 24x + 36 = 5x² + 16x + 16

➡ 5x² + 16x + 16 - 4x² - 24x - 36 = 0

➡ x² - 8x - 20 = 0

➡ x² - 10x + 2x - 20 = 0

➡ x(x - 10) + 2(x - 10) = 0

➡ (x - 10)(x + 2) = 0

➡ x - 10 = 0 ; x + 2 = 0

➡ x = 10 ; x = - 2

∴ The value of x is 10 (or) - 2

Step-by-step explanation:

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