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blsea [12.9K]
3 years ago
12

Factoring x squared- 64= 0

Mathematics
2 answers:
Alex3 years ago
7 0
For this explanation, I'm going to write x squared as x^2.

This is whats called a "difference of squares" question. They appear whenever you have a squared x term (x^2), followed by a subtraction sign and a "perfect square" such as 4, 9, 25, 81, etc. It's actually very easy to factor! Determine the square root of the real number (in this case 64, whose square root is 8), then write two terms containing that number and a non-squared x. In one term separate them with a +, and the other with a -.

x^2 - 64 = 0
becomes
(x-8)(x+8) = 0

If you can remember your perfect squares, and can identify a question as a "difference of squares" question, they are really easy!

zvonat [6]3 years ago
6 0
Since <span><span>−64</span><span>-64</span></span> does not contain the variable to solve for, move it to the right side of the equation by adding <span>6464</span> to both sides.<span><span><span>x2</span>=64</span><span><span>x2</span>=64</span></span>Take the square root of both sides of the equation to eliminate the exponent on the left side.<span><span>x=<span>±<span>√64</span></span></span><span>x=<span>±64</span></span></span>The complete solution is the result of both the positive and negative portions of the solution.
<span>x=8,<span>−<span>8</span></span></span>
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The volume of a sphere is 5,000pi m3. What is the surface area of the sphere to the nearest square meter?
tia_tia [17]
Surface area of a sphere = <span>4π<span>r2</span></span>
 the volume of a sphere= <span><span>43</span>π<span>r3</span></span>
 so <span>5000π=<span>4/3</span><span>πr3
</span></span><span>> r^3 = 5000 x 3 / 4 =>
 r^3 = 3750
</span>taking cube root on both sides
r=15.53616
hope it helps
5 0
3 years ago
Read 2 more answers
Which ratios form a proportion?
ElenaW [278]
Your answer would be D.

This is because you could multiply 5/8 by 2 to get 10/16.
5 0
4 years ago
Read 2 more answers
How are part-to-part ratios different from part-to-whole ratios?
PolarNik [594]

Answer:

Step-by-step explanation:

Ratios can be of 2 types here:

Part to Part

and

Part to Whole

Part-to-Part ratios give the relationship between 2 distinct things/groups. Such as the ratio of male to female in a class, or ratio of water to sugar in a drink etc.

Part-to-Whole ratios give the relationship between one group/thing to the whole population. Such as the ratio of male to total students in a class, or the ratio of cups of sugar to total cups of drinks etc.

<u>Note:</u> If there are 2 parts in a population, we can essentially write 3 ratios. For example, the ratio of male to female in a class is 4 to 5. So in total there are 4+5 = 9 parts (whole). So we can say:

ratio of male to total population is 4 to 9

ratio of female to total population is 5 to 9

Also,

ratio of male to female (as stated before) is 4 to 5

3 ratios.

4 0
3 years ago
3 pounds is equal to how many kilograms​
Romashka [77]

Answer: 1.36078

Step-by-step explanation:

6 0
4 years ago
Can you please help me solve for the area
ycow [4]

Answer:

area is equal to 198 cm^2

Step-by-step explanation:

the height h of the left triangle can be obtained by

Pytagoras theorem:

5^2+h^2=13^2\\25+h^2=169\\h^2=169-25\\h^2=144\\h=\sqrt{144} \\h=12

the, the area of the left triangle is

A_1=\frac{5*12}{2} \\A_1=5*6\\A_1=30

the area of the right triangle is

A_2=\frac{2*12}{2} \\A_2=12

and the area of the rectangle in the middle is

A_3=(13)(12)\\A_3=156

Por tanto, el area total sera

A=A_1+A_2+A_3\\A=30+12+156\\A=198

8 0
3 years ago
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