√ (1/144) = 1/12
Because √1 = 1 ; √144 = 12
⇒ C
Remark
If the lines are parallel then triangle RQS will be similar to triangle RTP
From that, all three lines in one triangle will bear the same ratio to all three lines of the second triangle.
Givens
PQ = 8
QR = 5
RS = 15
ST = x + 3
Ratio
QR/RP = RS/RT
Sub and solve
RP = 5 + 8
RP = 13
RT = 15 + x + 3
RT = 18 + x
5/13 = 15 / (18 + x) Cross multiply
5(18 + x) = 195 Remove the brackets on the left.
90 + 5x = 195 Subtract 90 from both sides.
5x = 105 Divide by 5
x = 105/5
x = 21 Answer <<<<<<<
When the number is positive, its opposite is less than the number.
9 ==> -9 . . . . . . less
72 ==> -72 . . . . less
324 ==> -324 . . less
When the number is negative, its opposite is greater than the number.
-8 ==> 8 . . . . . . greater
-3/4 ==> 3/4 . . . greater
-429 ==> 429 . . greater .
We've seen that the opposite can be less, and it can also be greater.
I guess that means that it's sometimes greater.
How to solve your question
Your question is
4
+
1
=
2
−
5
4x+1=2x-5
4x+1=2x−5
Solve
1
Subtract
1
1
1
from both sides of the equation
2
Simplify
3
Subtract
2
2x
2x
from both sides of the equation
4
Simplify
5
Divide both sides of the equation by the same term
6
Simplify
Solution
=
−
3
9514 1404 393
Answer:
x^2 -4x +2 = 0
Step-by-step explanation:
The other root is the conjugate of the given one, so is 2-√2. The quadratic equation in factored form is then ...
(x -2-√2)(x -2+√2) = 0
Expanding this, we get ...
(x -2)^2 -(√2)^2 = 0
x^2 -4x +4 -2 = 0
x^2 -4x +2 = 0 . . . . the equation you're looking for
