Let the first integer be x; then the second is x+1.
The product of x and x+1 is x(x+1), and this product must equal 1295.
Thus, x^2 + x = 1295, or x^2 + x - 1295 = 0
Solve for x by completing the square:
x^2 + x + (1/2)^2 - (1/2)^2 - 1295 = 0
(x-1/2)^2 - 1/4 - 1295 = 0, or (x-1/2)^2 -5181/4 = 0,
Thus, x-1/2 = sqrt(5181/4), and so
x = 1/2+sqrt(5181/4) = 25.45
This could NOT be correct, since x and x+1 are CONSECUTIVE INTEGERS.
CHECK to ensure that you have copied down this problem correctly.
Simplify the following:
8 p^3 - 3 p^3 - 2 p^2 + 5 p - 12 p - 4 + 5
Grouping like terms, 8 p^3 - 3 p^3 - 2 p^2 + 5 p - 12 p - 4 + 5 = (-3 p^3 + 8 p^3) - 2 p^2 + (5 p - 12 p) + (-4 + 5):
(-3 p^3 + 8 p^3) - 2 p^2 + (5 p - 12 p) + (-4 + 5)
8 p^3 - 3 p^3 = 5 p^3:
5 p^3 - 2 p^2 + (5 p - 12 p) + (-4 + 5)
5 p - 12 p = -7 p:
5 p^3 - 2 p^2 + -7 p + (-4 + 5)
5 - 4 = 1:
Answer: 5 p^3 - 2 p^2 - 7 p + 1
Its value would 500, I hope this helped you
187 centimeters is 1.87 meters
