${4x}^{2} - 4x + 1 = 0 \\ 4x^{2}-4x=-1 \\ \frac{4x^{2}-4x}{4}=\frac{-1}{4} \\ x^{2}+\frac{-4}{4}x=\frac{-1}{4} \\ x^{2}-x=\frac{-1}{4} \\ x^{2}-x+\left(-\frac{1}{2}\right)^{2}=-\frac{1}{4}+\left(-\frac{1}{2}\right)^{2} \\ x^{2}-x+\frac{1}{4}=\frac{-1+1}{4} \\ x^{2}-x+\frac{1}{4}=0 \\ \left(x-\frac{1}{2}\right)^{2}=0 \\ \sqrt{\left(x-\frac{1}{2}\right)^{2}}=\sqrt{0}$

Now simplify.

$x-\frac{1}{2}=0 \\ x-\frac{1}{2}=0 \\ \\ \rightarrow \: x=\frac{1}{2} \\ \rightarrow \: x=\frac{1}{2}$

So, answer is..

$\boxed{x=\frac{1}{2} }$

Now rewrite the equation.

$4 x ^ { 2 } - 4 x + 1 = 0 \\ \boxed{4\times \left(\frac{1}{4}\right)-4\times \left(\frac{1}{2}\right)+1=0 }$

Verification :-

$4 x ^ { 2 } - 4 x + 1 = 0 \\ 4\times \left(\frac{1}{4}\right)-4\times \left(\frac{1}{2}\right)+1=0 \\ 1-4\times \left(\frac{1}{2}\right)+1=0 \\ 1-\frac{4}{2}+1=0 \\ 1-2+1=0 \\ -1+1=0 \\ \underline{ 0 = 0} \: \\ \dashrightarrow \text{true}$

3 0

3 years ago

Please can you factor this equation.

Mademuasel [1]

The answer is: 2y^2-20y+12

7 0

4 years ago

I need help I don’t understand this

Anestetic [448]

Answer:

108°

Step-by-step explanation:

$- 3x + 69 = - 5x + 43 \: \: \\ (corresponding \: \angle s) \\ \\ 5x - 3x = 43 - 69 \\ \\ 2x = - 26 \\ \\ x = \frac{ - 26}{2} \\ \\ x = - 13 \\ \\ - 5x + 43 = - 5( - 13) + 43 \\ = 65 + 43 \\ = 108 \degree \\ \\ \because m \angle \: 4 = - 5x + 43 \\ (vertical \: \angle s) \\ \\ \huge \red{\therefore \: m \angle \: 4 } \pink{=} \purple{ 108 \degree}$

5 0

3 years ago

Read 2 more answers

When Kirk and Elisa formed their general partnership, Kirk contributed 90 percent of the capital, and Elisa contributed 10 perce

topjm [15]

Answer:

Her share is $3500

Step-by-step explanation:

As a general rule, if they did not make any specifications on how they would share the profit, then they should share it according on how percentage of capital they contributed. Since Elisa only contributed 10%, then she should get only 10% of profit, as a result, her share is 35000*0.1 = $3500.

3 0

3 years ago