Solve 5(2x – 3) = x – 15 + 9x for x.
1 answer:
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Here we go ~
1. A circle can be named by their Centre, so here in the diagram it's :
- Circle A
2. Name 4 radii :
Radii are the line segments that joins the centre and boundary of circle.
They are :
- FA
- GA
- BA
- CA
3. 2 Major arcs :
considering two points on a circle, and joining them forms a curve ( you can say part of circumference )
When we consider two points two arcs are formed and the arc with more length is known as Major Arc
That is :
- Major arc ECF
- Major arc BEC
4. A Semicircle :
Semicircle is special arc which is formed when two arcs formed by the points are equals to one another... it's also half the Perimeter of circle.
that is :
- Arc CF is a Semicircle
5. 3 minor arcs :
The arc formed by two points having lesser length is known as minor arc.
that is :
- Arc EF
- Arc BG
- Arc FG
6. 3 Central angles :
Central angles are angles formed by arcs on centre of the circle ~
that is :
- Angle FAB
- Angle BAC
- Angle GAB
7. A diameter :
Diameter is a chord that passes through centre of the circle.
- CF
8. Congruent Angles :
In the given figure, there are two equal/congruent angles that are ~
- Angle BAG and Angle GAF
9. Adjacent arcs :
The arcs that have one common end point are known as Adjacent arcs ~
that are :
- Arc FG and Arc GB
Inserting all the given information into the identity, we have
Answer:
x = 1 or x = ± i
Step-by-step explanation:
Note the sum of the coefficients
1 - 1 + 1 - 1 = 0
This indicates that x = 1 is a root, thus (x - 1) is a factor
Using long division or synthetic division, then
x³ - x² + x - 1 = (x - 1)(x² + 1), thus
(x - 1)(x² + 1) = 0
Equate each factor to zero and solve for x
x - 1 = 0 ⇒ x = 1
x² + 1 = 0 ⇒ x² = - 1 ⇒ x = ± = ± i