Question

Решите (2t-1)(2t+1)-4t(t+2)=1-10t

Answer 1

Ответ:

1

Пошаговое объяснение:

4t²-1-4t²-8t+10t=1

2t=2

t=1

Answer 2

To solve the given equation, we need to simplify and solve for the variable t. Let's start by expanding the left side of the equation:

(2t - 1)(2t + 1) - 4t(t + 2) = 1 - 10t

Expanding the left side:

(2t * 2t) + (2t * 1) + (-1 * 2t) + (-1 * 1) - (4t * t) - (4t * 2) = 1 - 10t

Simplify the terms:

4t^2 + 2t - 2t - 1 - 4t^2 - 8t = 1 - 10t

Now, combine the like terms:

(4t^2 - 4t^2) + (2t - 2t - 8t) - 1 = 1 - 10t

The first and second terms cancel out, leaving us with:

-8t - 1 = 1 - 10t

Now, let's isolate the variable t on one side of the equation. Add 10t to both sides and add 1 to both sides:

-8t + 10t = 1 + 1 - 10t

Simplify:

2t = 2

Finally, divide both sides by 2 to solve for t:

t = 1

So, the solution to the equation is t = 1.