<u><em>Answer:</em></u>
{x | x = 0.5 or x = 4.5}
<u><em>Explanation:</em></u>
<u>Before we begin, remember that:</u>
The modulus gives the positive value of what's inside it.
<u>This means that:</u>
|a| = |-a| = a
<u>Now, for the given, we have:</u>
|2x-5| = 4
<u>From the above rule, we can deduce that:</u>
<u>either:</u>
2x - 5 = 4
2x = 4 + 5 = 9
x = 4.5 ............> first solution
<u>Or:</u>
2x - 5 = -4
2x = 5-4 = 1
x = 0.5 ..........> second solution
<u>Now, we check:</u>
<u>at x = 4.5</u>: |2(4.5)-5| = |9-5| = |4| = 4 ..........> first solution verified
<u>at x = 0.5</u>: |2(0.5)-5| = |1-5| = |-4| = 4 .........> second solution verified
Hope this helps :)
Answer:
x=1+2√2 or x=1−2√2
Step-by-step explanation:
Let's solve your equation step-by-step.
3x2−6x=21
Step 1: Since the coefficient of 3x^2 is 3, divide both sides by 3.
3x2−6x
3
=
21
3
x2−2x=7
Step 2: The coefficient of -2x is -2. Let b=-2.
Then we need to add (b/2)^2=1 to both sides to complete the square.
Add 1 to both sides.
x2−2x+1=7+1
x2−2x+1=8
Step 3: Factor left side.
(x−1)2=8
Step 4: Take square root.
x−1=±√8
Step 5: Add 1 to both sides.
x−1+1=1±√8
x=1±√8
x=1+2√2 or x=1−2√2
Answer:
x= 5 whole number and 2/15
Step-by-step explanation:
Answer:
1/4x+1/2=1/3x
Step-by-step explanation:
by solving for x. simplifying both sides of the equation, then isolating the variable.
A.
This is because in each circle the lines increase by one, so from the triangle (3 lines) to the rectangle (4 lines) it only makes sense to put a pentagon (5 lines)
