Answer:
x = - , x =
Step-by-step explanation:
Given
x² - x - = 0 ( add
to both sides )
x² - x =
Solve using the method of completing the square
add ( half the coefficient of the x- term )² to both sides
x² + 2( - )x +
=
+
(x - )² = 1 ( take the square root of both sides )
x - = ± 1 ( add
to both sides )
x = ± 1
Thus
x = - 1 = -
x = + 1 =
The distance between two points (2,-2) and (0,-9) is 7.3 units, which is obtained by graphical method and formula method.
Step-by-step explanation:
The given is,
Two points are (2,-2) and (0,-9)
Step:1
By graphical method,
For two points (2,-2) and (0,-9)
First point (2,-2)
The values of x=2 and y=-9 noted in the graph
Second point (0,-9)
The values of x=0 and y=-9 noted in the graph
Now join the two points, measure the distance between the two points,
Distance between points are 7.3 units.
( OR )
Step:1
By formula method,
Distance =
Where,
( 2,-2) are ()
(0,-9) are ()
From the values,
=
=
=
=
= 7.280
≅ 7.3
Distance = 7.3
Result:
The distance between two points (2,-2) and (0,-9) is 7.3 units, which is obtained by graphical method and formula method.
