The equation is - =
Solution
<u>Step 1:</u>
Take square on both sides, we get
3x - 2 -2 = x +2
<u>Step 2:</u>
Subtract 3x - 2 from both sides, we get
-2
<u>Step 3:</u>
Again, square on both sides in order to get rid of the square root from the above equation, we get
Now we have to simplify it,
<u>Step 4:</u>
Now we have to solve this quadratic equation, in order to get the solution.
We get x = 2 and x = -2, When we verifying solution in the original given equation, the solution does not satisfy the equation.
Reason: We get negative number in the square root.
Therefore, it has no Roots.
<em>Answer: b) No roots</em>
Use a calculator is gives you the answers
y-2 = 3(x+7) put it in y=mx+b form (slope intercept)
y-2 = 3(x+7) distribute 3
y-2 = 3x+21 add 2 to both sides
+2 +2
y = 3x + 23
so now the slope of that is 3 so the new equation has a slope of 3 because parallel slopes are equal.
my new line has a slope of 3 and point (4,2)
so we use point slope formula y-y1 = m(x-x1)
y-2 =3(x-4) put it in y=mx+b form (slope intercept)
y-2 = 3(x-4) distribute 3
y-2 = 3x -12 add 2 to both sides
+2 +2
y = 3x + 10 which is you line slope intercept with parallel slope and contains (4,2)