Answer:
Step-by-step explanation:
There are two consecutive positive even integers such that the square of the first is 364 more than five times a second. What are the two numbers?
Two consecutive year positive integers are represented by
x and x + 1
First integer = x
Second integer = y
There are two consecutive positive even integers such that the square of the first is 364 more than five times a second.
This is represented mathematically as:
x² = 364 + 5(x + 1)
x² = 364 + 5x + 5
x² -5x -5 - 364
x² - 5x - 369
Answer:
1. -15c - 4
2. 3x - 5
3. 14q
4. -195 + 39m
5. 55b + 130
Step-by-step explanation:
Absolute value describes how far away a number is from 0
The absolute value of a number is always positive even if you are looking at the absolute value of a negative number.
Examples
The absolute value of 6 = 6
The absolute value of -6 = 6
Answer:
64 is the right answer of your question
Answer:
x = sqrt(273)/2 - 1/2 or x = -1/2 - sqrt(273)/2
Step-by-step explanation:
Solve for x:
x - 3 = 56/(x + 4)
Cross multiply:
(x - 3) (x + 4) = 56
Expand out terms of the left hand side:
x^2 + x - 12 = 56
Add 12 to both sides:
x^2 + x = 68
Add 1/4 to both sides:
x^2 + x + 1/4 = 273/4
Write the left hand side as a square:
(x + 1/2)^2 = 273/4
Take the square root of both sides:
x + 1/2 = sqrt(273)/2 or x + 1/2 = -sqrt(273)/2
Subtract 1/2 from both sides:
x = sqrt(273)/2 - 1/2 or x + 1/2 = -sqrt(273)/2
Subtract 1/2 from both sides:
Answer: x = sqrt(273)/2 - 1/2 or x = -1/2 - sqrt(273)/2