Correct option is A) [-13/4, 9/4] .
<u>Step-by-step explanation:</u>
Here we have following equation as |2 + 4x| = 11 or , . We need to solve for the value of x .Let's find out:
We know that Modulus Function is both positive & negative for particular values of x , i.e.
|2 + 4x| is positive :
⇒
⇒
⇒
⇒
|2 + 4x| is negative :
⇒
⇒
⇒
⇒
Therefore , Correct option is A) [-13/4, 9/4] .
Answer:
x = 1 ±
Step-by-step explanation:
Given
2x² - 4x = 10 ( divide through by 2 )
x² - 2x = 5
Using the method of completing the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 1)x + 1 = 5 + 1
(x - 1)² = 6 ( take the square root of both sides )
x - 1 = ± ( add 1 to both sides )
x = 1 ± ← exact solutions
Answer:
15° and 100°
Step-by-step explanation:
3 × 5 = 15, 20 × 5 = 100. So the other two angles measure 15° and 100°.