Question

(2x - 2)•(2x + 7) - x(4x + 1) - 3,5 = 0​

Answer 1

(2x - 2)•(2x + 7) - x(4x + 1) - 3,5 = 0​

4x²+14x-4x-14-4x²-x-3,5=0

9x= 17,5

x=17,5:9

х≈ 1,9(4) ≈1,94

Answer 2

To solve the given quadratic equation, follow these steps:

Step 1: Expand the expression. Step 2: Simplify the equation. Step 3: Set the equation equal to zero. Step 4: Solve the quadratic equation.

Let's go through each step:

Step 1: Expand the expression. (2x - 2) * (2x + 7) - x(4x + 1) - 3.5 = 0

Using the distributive property, expand the terms: (2x * 2x) + (2x * 7) + (-2 * 2x) + (-2 * 7) - (4x^2) - x - 3.5 = 0

Step 2: Simplify the equation. 4x^2 + 14x - 4x - 14 - 4x^2 - x - 3.5 = 0

Step 3: Combine like terms. (4x^2 - 4x^2) + (14x - 4x - x) - (14 + 3.5) = 0

Simplifying further: 9x - 17.5 = 0

Step 4: Solve the quadratic equation. Now, to find the value of x, isolate the variable on one side:

9x = 17.5

Finally, divide both sides by 9 to solve for x:

x = 17.5 / 9 x ≈ 1.9444

So, the solution to the quadratic equation is approximately x = 1.9444.