Get into ax²+bx+c=0 form
subsitute u=x⁴
x⁸-3x⁴+2=0
(x⁴)²-3(x⁴)+2=0
u²-3u+2=0
factor
(u-2)(u-1)=0
set to zero
u-2=0
u=2
u-1=0
u=1
wait, u=x⁴
2=x⁴
![\sqrt[4]{2}=x](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B2%7D%3Dx)
1=x⁴
+/-1=x
the subsitution is u=x⁴
and the possible values for x are -1,
, and 1
Answer:
Step-by-step explanation:
The attached diagram shows the triangle ABC formed by the ladder with the wall of the house.
Triangle ABC is a right angle triangle. It has a 90 degree angle. The length of the ladder forms the hypotenuse(AC)of the triangle. This length can be determined by applying Pythagoras theorem
Hypotenuse^2 = opposite ^2 + adjacent^2
AC^2 = 22^2 + 5^2
AC^2 = 484 + 25 = 509
AC = √509
AC = 22.56
The slope of the ladder is
(change in y)/(change in x)
Slope = 22/5 = 4.4
0.5 / 100 * X = 3
X = 3 * 100 / 0.5 = 300 / 0.5 = 600
19/20 in simplest form is 0.95
9/16 in simplest form is 0.5625
Answer:
7 gal 3 qt is 31 quarts.
Step-by-step explanation:
Given:
7 gal 3 qt to quarts.
Now, convert the measurement as indicated.
So, the value of 1 gallon = 4 quarts.
Thus , the 7 gal(gallons) = 7 × 4 = 28 quarts.
And 3 qt (quarts) = 3 × 1 = 3 quarts.
So,
Therefore, 7 gal 3 qt is 31 quarts.
