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The way we create a perfect square trinomial is by squaring something in the form of
(x-a) where a is some real number.
For example (x-2)2 is x2 -4x+4 which is a perfect square trinomial.
Not, write this as (x-2)(x-2) instead of (x-2)2 .
To find the solutions, we write (x-2)(x-2)=0
The only solution that will make the left side equal to zero is 2.
So in general, if we have a perfect square trinomial with the unknown as x,
think of it as (x-a)2 or as (x-a)(x-a), then if we set this to 0, the one and only solution is x=a
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What is the largest perfect square of 205200000?
There can be only one perfect square for a number and for 205200000 it is 42,107,040,000,000,000
What are the square factors of 90?
the only perfect square factor of 90 is 9
Are square roots of positive integers rational?
Only if the integer is a perfect square.
Is the square root of 170 a rational number?
No. The only square roots of integers that are rational numbers only when the integer is a perfect square.
What is a perfect square and perfect cubed number?
To find a number that is both a perfect square and a perfect cube, we must solve x2 = x3 over x ∈Z+. The only two solutions to this equation are 0 and 1, or x = {0,1}. Therefore, zero and one are the only two numbers that are both perfect squares and perfect cubes. --In easier terms: a perfect square is a number that can be "square rooted" and have no remainder. Like, 144. The square root is 12 therefore 144 is a perfect square. A perfect Cube is the same except that it must be "cubed rooted". Like 27. The cube root of this number is 3 therefore 27 is a perfect cube.
