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:
its step 4
Step-by-step explanation:
Answer:
1. (2+2)/(-3+4)= 4/1= 4
y + 2 = 4(x + 4)
y + 2 = 4x + 16
y = 4x + 14 y-intercept:(0,14)
2. (0+5)/(-1+2)= 5/1= 5
y + 5 = 5(x + 1)
y + 5 = 5x + 5
y = 5x
y-intercept (0,0)
3. (-1+1)/(-5-3)= 0/-8= 0
y + 1 = 0(x - 3)
y + 1 = 0
y= -1
first invert fraction of the slope from 4/1 to 1/4 and switch sign. then figure out the y-intercept
the algebraic approach would work like this:
-4x + 10 = 1/4x + b
plug in what you got, here: the intersection information
-4*(4) + 10 = 1/4*(4) + b
-16 + 10 = 1 + b
-6 = 1 + b
-7 = b
Answer:
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