Do you mean an extraneous solution? I will tell you what I think. To tell if a solution is extraneous you need to go back to the original problem and check if there actually is a solution or if the solution is actually right. If not then it is extraneous.
1/sin^2x-1/tan^2x=
1/sin^2x-1/ (sin^2x/cos^2x)<<sin tan= sin/cos>>
= 1/sin^2x- cos^2x / sin^2x
= (1- cos^2x) / sin^2x <<combining into a single fraction>>
sin^2 x / sin^2x <<since 1- cos^2 x sin^2 x
=1
this simplifies to 1.
Hello!
We can make an equation based on what we know
The product of 9 and a number is
9 * x
Added to six
9 * x + 6
Gives the result of 24
9 * x + 6 = 24
Now you solve it algebraically
Subtract 6 from both sides
9 * x = 18
Divide both sides by 9
x = 2
The answer is 2
Hope this helps!
- Answer & step-by-step explanation:
<em>a) impossible</em>
<em>b) the sum of the angles in a triangle is 180°</em>
<em>63° + 59° + 57° = 179°</em>
Answer:
x = - 4 ± 2
Step-by-step explanation:
Given
f(x) = x² + 8x + 4
To find the zeros let f(x) = 0, that is
x² + 8x + 4 = 0 ( subtract 4 from both sides )
x² + 8x = - 4
To solve using the method of completing the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(4)x + 16 = - 4 + 16
(x + 4)² = 12 ( take the square root of both sides )
x + 4 = ± 
= ± 2 ( subtract 4 from both sides )
x = - 4 ± 2
Thus the zeros are
x = - 4 - 2 and x = - 4 + 2
