2 Answers

David Ford · Answer 1 · 2020-05-19T07:32:04+0000

±1/2. The equation
4x^(2) =1 has two possible solutions +1/2 and -1/2.

The problem is a quadratic equations and it can be solved using the equation
$x=-b±\frac{\sqrt{b^(2) -4ac} }{2a}$ .

Ordering the quadratic equation given in the problem, we obtain
4x^(2) -1=0 where a = 4, b = 0, and c = -1

Substituting the values

$x=±(√(-4(4)(-1)) )/(2(4))=±(√(16))/(8) =±(4)/(8) \\x=±(1)/(2)$

Ethankore · Answer 2 · 2020-05-23T01:03:40+0000

Hello!

The answer is:

The correct option is the second option,

4x^(2)=+-(1)/(2)

We are given the expression:

4x^(2)

Now, solving we have:

Applying square root to both sides of the equation in order to isolate x:

$4x^(2)=1\\\\\sqrt{4x^(2) } =+-√(1)\\\\2x=+-1\\\\x=+-(1)/(2)$

Hence, the correct option is the second option,

4x^(2)=+-(1)/(2)

Have a nice day!