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frez [133]
3 years ago
12

How do u find rational or irrational?

Mathematics
1 answer:
geniusboy [140]3 years ago
3 0
Rational stops or repeats while irrational never stops or repeats
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Solve the following system of equations y=3x^2+24+10<br> 3x + y = 10
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Answer:

y=3x^2+34

3x+y-10=0

Step-by-step explanation:

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Solve the following quadratic equation for all values of x in simplest form. (x-4)^2=33​
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\huge\text{$x=\boxed{\sqrt{33}+4,\ -\sqrt{33}+4}$}

To solve for x, we need to isolate it on one side of the equation.

Take the square root of both sides, making sure to use both positive and negative roots.

\begin{aligned}(x-4)^2&=33\\x-4&=\pm\sqrt{33}\end{aligned}

\sqrt{33} cannot be simplified, so we'll leave it as-is.

Add 4 to both sides to fully isolate x.

x=\pm\sqrt{33}+4

Expand the solution by making two solutions, one where \sqrt{33} is positive and one where it's negative.

x=\sqrt{33}+4,\ x=-\sqrt{33}+4\\x=\boxed{\sqrt{33}+4,\ -\sqrt{33}+4}

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A number with the same value as 32
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