Question

Solve: 10 sin^2(X) - 3sin(X) - 1 = 0
Let u = sin(x).
The given equation is equivalent to
(2u - 1)(5u + 1) = 0
(10u + 1)(u - 1) = 0
(5u - 1 )(2u- 1) = 0

Answer 1

Answer:

(2u-1)(5u+1)=0

(2u-1), sin(x)= 1/2

(5u+1), sin(x)= -1/5

The solutions to the equation:

x=pi/6 + 2kpi

x=5pi/6 +2kpi

3.34+2kpi

-0.201+2kpi

Step-by-step explanation:

Correct on edge

Answer 2

$(2u-1)(5u+1)=0(2u-1), sin(x)= 1/2(5u+1), sin(x)= -1/5The solutions to the equation:x=pi/6 + 2kpix=5pi/6 +2kpi3.34+2kpi-0.201+2kpi$

How do you know if equations are equivalent?

To solve this, you need to find "x" for each equation. If "x" is the same for both equations, then they are equivalent. If "x" is different (i.e., the equations have different roots), then the equations are not equivalent.

What is an example of an equivalent equations?

For example, if we take 3x + 12 = 7x - 2 and subtract 3x from both sides and add 2 to both sides, we get 14 = 4x. In doing this, we haven't changed the solution set, so 3x + 12 = 7x - 2 and 14 = 4x are equivalent.

Learn more about equivalent equations here:  https://brainly.com/question/2328454

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