Answer:
The square of this expression is written as ( a − b ) 2 in mathematical form and it is expanded as a 2 − 2 a b + b 2 mathematically. In mathematics, this algebraic identity is used as a formula and it is called in the following three ways. The square of difference of the terms formula.
Step-by-step explanation:
Do you want a general solution or from 0 <= x < 2pi?
tan^2(2x) - 1 = 0
tan^2(2x) = 1
Take the square root of both sides,
tan(2x) = +/- 1
Two equations:
tan(2x) = 1
tan(2x) = -1
Solve each equation.
tan(2x) = 1, 2x = {pi/4, 5pi/4, 9pi/4, 13pi/4},
x = { pi/8, 5pi/8, 9pi/8, 13pi/8 }
tan(2x) = -1, 2x = { 3pi/4, 7pi/4, 11pi/4, 15pi/4 },
x = { 3pi/8, 7pi/8, 11pi/8, 15pi/8}
So for solutions within [0, 2pi),
x = {pi/8, 3pi/8, 5pi/8, 7pi/8, 9pi/8, 11pi/8, 13pi/8, 15pi/8 }
7/8 is equal to 0.875. Have a good day!
Answer:
11800
Step-by-step explanation:
Answer:
x = -1.77, 6.77.
Step-by-step explanation:
x^2 - 5x = 12
(x - 2.5)^2 - 6.25 = 12
(x - 2.5)^2 = 18.25
x - 2.5 = +/- √18.25
x = 2.5 +/- √18.25
x = -1.77, 6.77.