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elena-14-01-66 [18.8K]
3 years ago
12

PLEASE HELP ME PLEASE

Mathematics
2 answers:
olya-2409 [2.1K]3 years ago
6 0

±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=±\frac{\sqrt{-4(4)(-1)} }{2(4)}=±\frac{\sqrt{16}}{8} =±\frac{4}{8} \\x=±\frac{1}{2}

Citrus2011 [14]3 years ago
3 0
<h2>Hello!</h2>

The answer is:

The correct option is the second option,

4x^{2}=+-\frac{1}{2}

<h2>Why?</h2>

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} } =+-\sqrt{1}\\\\2x=+-1\\\\x=+-\frac{1}{2}

Hence, the correct option is the second option,

4x^{2}=+-\frac{1}{2}

Have a nice day!

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