The values of a, b and c for the equation 8x2 - 2x = 1 are:
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+ √6 = √9
The first step is to get by itself. We can do this by subtracting
from each side, and simplifying
= 3 -
Now we square both sides
5x = (3 - )²
Using the formula (a - b)² = a² -2ab + b², (3 - )² = 15 - 6
5x = 15 - 6
x =
Check the picture below.
since we know the acute angle is 45°, that angle with the bottom base and the slanted line and the altitude make a 45-45-90 triangle, and thus we can get the value of that section at the bottom, as you see in the picture, thus the longer base is 9 + 18 + 9, or 36.
since we know the acute angle is 45°, that angle with the bottom base and the slanted line and the altitude make a 45-45-90 triangle, and thus we can get the value of that section at the bottom, as you see in the picture, thus the longer base is 9 + 18 + 9, or 36.