Answer:
1/9, (-3)/11
Step-by-step explanation:
Both the left and right side are perfect squares,
(x + 2)^2 = (10x + 1)^2
In order for the squares to be equal, we must have the inner expressions equal to each other or negations of each other:
(x + 2) = (10x + 1)
or
x + 2 = -10x - 1
Simplifying the first equation gives 9x = 1 so 1/9 and simplifying the second equation gives 11x = -3, so (-3)/11
To find the x, let's look at the sketch below:
All we simply need to do is to use Pythagorars theorem to find y
x is a radius and y is also a radius
Hence x and y are congruent
So Using Pythagoras theorem
y² = 3.6² + 4²
y² = 12.96 + 16
y² = 28.96
Take the square root of both-side of the equation
y ≈ 5.4
Therefore, x= 5.4
