3 years ago

Estimate the answer to the calculation below 21 X 385 52

Mathematics

1 answer:

Andrei [34K]3 years ago

3 0

Answer:

809,592

Step-by-step explanation:

21 x 38552= 809592

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Square Root

Oxana [17]

Answer:

1). $(x+\frac{1}{4})^{2}=\frac{4}{9}$

2). $x+\frac{1}{4}=\pm \frac{2}{3}$

Step-by-step explanation:

Here the given equation is $x^{2}+\frac{1}{2}x+\frac{1}{16}=\frac{4}{9}$

We have to factor the perfect square trinomial on the left side of the equation

So left side of the equation is $x^{2}+\frac{1}{2}x+\frac{1}{16}$

= $x^{2}+2\times \frac{1}{4}x+(\frac{1}{4})^{2}$

$=(x+\frac{1}{4})^{2}$ since [(a+b)²= a²+b²+2ab]

Therefore the factorial form of the equation will be

$(x+\frac{1}{4})^{2}=\frac{4}{9}$

Now we have to solve the equation by applying square root property

$\sqrt{(x+\frac{1}{4})^{2}}=\sqrt{\frac{4}{9}}$

$x+\frac{1}{4}=\pm \frac{2}{3}$

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