Which equations are true for x = –2 and x = 2? Select two options
1 answer:
The equations that are true for x = -2 and x = 2 are -4 = 0 and 4
= 16
An equation is a mathematical statement that establishes the equality of two quantities.
Analysis:
Testing the equation x2 - 4 = 0
for x = 2, - 4 = 4-4 = 0
for x = -2 = (-2)2 - 4 = 4-4 = 0
Therefore x2-4 = 0 is true
Testing for 4x2 =16
for x = 2 , 4(2) ^2 = 4x4 = 16
for x = -2 4(-2)^2 = 4(4) = 16.
All other equations are not true except these two.
Learn more about equations: brainly.com/question/2972832
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1) Change radical forms to fractional exponents using the rule:
The n<span>th root of "</span>a number" = "that number" raised to the<span> reciprocal of n.
For example </span>![\sqrt[n]{3} = 3^{ \frac{1}{n} }](https://tex.z-dn.net/?f=%20%5Csqrt%5Bn%5D%7B3%7D%20%3D%20%20%203%5E%7B%20%5Cfrac%7B1%7D%7Bn%7D%20%7D)
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The square root of 3 (
) = 3 to the one-half power (
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The 5th root of 3 (![\sqrt[5]{3}](https://tex.z-dn.net/?f=%20%5Csqrt%5B5%5D%7B3%7D%20)
) = 3 to the one-fifth power (
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2) Now use the product of powers exponent rule to simplify:
This rule says
. When two expressions with the same base (a, in this example) are multiplied, you
can add their exponents while keeping the same base.
You now have
. These two expressions have the same base, 3. That means you can add their exponents:
3) You can leave it in the form
or change it back into a radical ![\sqrt[10]{3^7}](https://tex.z-dn.net/?f=%20%5Csqrt%5B10%5D%7B3%5E7%7D%20)
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Answer: or
The n<span>th root of "</span>a number" = "that number" raised to the<span> reciprocal of n.
For example </span>
The square root of 3 (
The 5th root of 3 (
2) Now use the product of powers exponent rule to simplify:
This rule says
You now have
3) You can leave it in the form
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Answer: