Is 125 a perfect square? answer choices in picture
2 answers:
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Answer:
Step-by-step explanation:
we know that
The Pythagorean Theorem states that in a right triangle
where
c is the greater side (the hypotenuse)
a and b are the legs
In this problem
Let
c=AB ---> distance from point A to point B
a ---> the difference of the x-coordinates both points
b ---> the difference of the y-coordinates both points
so
substitute
In can be less mental effort if the equation is multiplied by -1 first.
.. x^2 -10x +8 = 0
.. x^2 -10x +25 +8 -25 = 0
.. (x -5)^2 = 17
.. x -5 = ±√17
.. x = 5 ±√17
The values of x that satisfy the given equation are
.. x = 5 -√17 ≈ 0.877
.. x = 5 +√17 ≈ 9.123
.. x^2 -10x +8 = 0
.. x^2 -10x +25 +8 -25 = 0
.. (x -5)^2 = 17
.. x -5 = ±√17
.. x = 5 ±√17
The values of x that satisfy the given equation are
.. x = 5 -√17 ≈ 0.877
.. x = 5 +√17 ≈ 9.123