Question

(3х + 1)^2 - 100 = 0.​

Answer 1

Ответ: 3*х1+1=10 или х1=3

3*х2+1=-10 или 3*х2=-11 или х2=-11/3=-3 2/3.

Объяснение:

Answer 2

${(3x + 1)}^{2} - 100 = 0 \\ 9 {x}^{2} + 6x + 1 - 100 = 0 \\ 9 {x}^{2} + 6x - 99 = 0 \\ d = 6 {}^{2} - 4 \times 9 \times ( - 99) = 36 + 3564 = 3600 = {60}^{2} \\ x1 = \frac{ - 6 - 60}{2 \times 9} = \frac{ - 66}{18} = \frac{ - 11}{3} \\ x2 = \frac{ - 6 + 66}{2 \times 9} = \frac{60}{18} = \frac{10}{3}$

Answer 3

To solve the equation (3x + 1)^2 - 100 = 0, we can follow these steps:

Step 1: Expand the square

(3x + 1)^2 = 100

Step 2: Apply the square root on both sides to eliminate the square

√((3x + 1)^2) = ±√100

Step 3: Simplify

3x + 1 = ±10

Step 4: Solve for x

Case 1: 3x + 1 = 10

Subtract 1 from both sides:

3x = 9

Divide both sides by 3:

x = 3

Case 2: 3x + 1 = -10

Subtract 1 from both sides:

3x = -11

Divide both sides by 3:

x = -11/3

So, the solutions to the equation (3x + 1)^2 - 100 = 0 are x = 3 and x = -11/3.