Answer: H = 
Step-by-step explanation:
Step 1: Add h to both sides.
hx+x²+h=−h+x+h
hx+x²+h=x
Step 2: Add -x^2 to both sides.
hx+x²+h+−x²=x+−x²
hx+h=−x²+x
Step 3: Factor out variable h.
h(x+1)=−x²+x
Step 4: Divide both sides by x+1
From the given volume, we know that the ratio is:
![\text {Ratio of yellow eraser to white eraser = } \sqrt[3]{ \dfrac{16}{2} }](https://tex.z-dn.net/?f=%5Ctext%20%7BRatio%20of%20yellow%20eraser%20to%20white%20eraser%20%3D%20%7D%20%20%5Csqrt%5B3%5D%7B%20%5Cdfrac%7B16%7D%7B2%7D%20%7D%20)
From the given area, we know that the ratio is:

Equate the two ratio and solve for x:
![\sqrt[3]{ \dfrac{16}{2} } = \sqrt{ \dfrac{52}{x} }](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%20%5Cdfrac%7B16%7D%7B2%7D%20%7D%20%20%3D%20%5Csqrt%7B%20%5Cdfrac%7B52%7D%7Bx%7D%20%7D%20)
Cube both sides:

Square both sides:

Simplify each term:

Cross multiply:

Divide both sides by 256:

Cube root both sides:
Let's say the price of one book is the variable x
Therefore, Alana is 5x and Petra is 4x
Angus bought 19x, but since he had a $10 discount, it is 19x-10
Combined, Alana and Petra is 5x+4x, but since it says Angus spent $5 more, it would be 5x+4x+5
Therefore, we get the equation:
19x-10=5x+4x+5
19x-10=9x+5
10x=15
x=15/10 or 3/2 which equals 1.5
Therefore, one book costs $1.5