Since you know a = 5√2, start by plugging that into your other equation, 2a = √2x to get an equation where x is the only variable you need to solve for:

There are two ways of solving for x:
1) Remember when you simplify radicals, you break what's underneath the radical into smaller factors. If a factor repeats under the square root, you can take two of them out and put one of them outside the radical sign (see picture for example). For this problem, you would be doing the reverse of simplifying. You have a 10 on the outside on the left of the equal sign, but a 2 underneath on both sides. If the 10 was taken out, that means there had to be two 10's underneath the radical to begin with. Those two tens would have been multiplied since they are factors, so 10 x 10 = 100. That means x = 100.
2) Solve it algebraically. Square both sides, simplify, then divide by 2:
Answer: x = 100
Answer:
<h3>Plessy v. Ferguson case.</h3>
Explanation:
- The Plessy v. Ferguson case of 1896 ruled out that segregation was constitutional as long as both blacks and whites enjoyed opportunities that were separate but equal.
- However, the Supreme Court's verdict in the Plessy v. Ferguson case of 1896 was challenged by Justice Earl Warren stating that the idea of ‘separate but equal’ in public school was unconstitutional and inherently unequal.
- Thus, Chief Justice Earl Warren issued the Supreme Court’s unanimous decision in Brown v. Board of Education, ruling that racial segregation in public schools violated the "Equal Protection Clause” of the 14th Amendment.