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Mathematics
21.02.2020 08:19
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Solve each equation by finding square roots if the equation has no real number solution

Solve each equation by finding square roots if the equation has no real number solution right no solution 4g^2=25
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carinaorcutt
carinaorcutt
5,0(61 marks)

ANSWER

g = - \frac{5}{2} \: or \: g = \frac{5}{2}

EXPLANATION

The given equation is

4 {g}^{2} = 25

Divide both sides by 4.

{g}^{2} = \frac{25}{4}

Take the square root of both sides:

g = \pm \sqrt{ \frac{25}{4} }

g = \pm \frac{5}{2}

Split the plus or minus sign:

g = - \frac{5}{2} \: or \: g = \frac{5}{2}

jasjoh39p0rp6i
jasjoh39p0rp6i
5,0(21 marks)

Let t be the thickness of one disk.

A stack of ten disks is 10t cm tall, so we have

10t = 1.15 \iff t = \dfrac{1.15}{10}=0.115

So, you can stack approximately

\dfrac{5}{0.115}\approx 43

disks on a 5cm tall stack.

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