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3(4×-1)²-1=11
What is the answer​


Sagot :

answer:

Given: 3(4x-1)² - 1 = 11

Step-by-Step Solution:

* Add 1 to both sides:

* 3(4x-1)² = 12

* Divide both sides by 3:

* (4x-1)² = 4

* Take the square root of both sides:

* 4x - 1 = ±2

Solving for x:

Case 1: 4x - 1 = 2

* 4x = 3

* x = 3/4

Case 2: 4x - 1 = -2

* 4x = -1

* x = -1/4

Therefore, the solutions for x are:

x = 3/4 or x = -1/4

Answer:

Solve each equation for (x):

[tex] - \text{For} \: (4x - 1 = 2):[/tex]

[tex]4x - 1 + 1 = 2 + 1[/tex]

[tex]4x = 3[/tex]

[tex]x = \frac{3}{4}[/tex]

[tex] - \text{For} \: {(4x - 1 = -2):}[/tex]

[tex]4x - 1 + 1 = -2 + 1[/tex]

[tex]4x = -1[/tex]

[tex]x = -\frac{1}{4}[/tex]

The solutions to the equation are:

[tex]x = \frac{3}{4} \quad \text{or} \quad x = -\frac{1}{4}[/tex]