Question

(2x–5)²–0,5=(2x–1)(2x+1)–15 ответы

Answer 1

4x - 10 - 0,5x = 4x - 1 - 15
4x -0,5x -4x = -1 -15 +10
-0,5x = -6
x= 12 вот держи

Answer 2

Solving the equation step-by-step:

(2x–5)2–0.5=(2x–1)(2x+1)–15 Expanding the left side: (2x–5)2 = 4x2 – 20x + 25 –0.5 = –0.5

Expanding the right side: (2x–1)(2x+1) = 4x2 + 2x – 2x – 1 = 4x2 –15 = –15

Equating the two sides: 4x2 – 20x + 25 – 0.5 = 4x2 – 15 4x2 – 20x + 24.5 = 4x2 – 15 0 = –20x + 9.5 20x = 9.5 x = 0.475

Therefore, the solution of the equation is x = 0.475.

Verifying the solution:

Let's plug x = 0.475 back into the original equation: (2*0.475 – 5)2 – 0.5 = (2*0.475 – 1)(2*0.475 + 1) – 15 (–4.525)2 – 0.5 = (–0.525)(1.95) – 15 20.475 – 0.5 = –1.02125 – 15 20 – 1.02125 – 15 = 0

Both sides are equal to 0, so x = 0.475 is indeed the correct solution.