Answer:
The solution of given equation is ( - 1 + 2 i ) , ( - 1 - 2 i )
Step-by-step explanation:
Given equation as :
3 x² + 6 x +15 = 0
The value of x fro the quadratic equation a x² + b x + c = 0 is obtained as
x =
So , from given eq , the value of x is now obtain as
x =
Or, x =
Or, x =
∴ x = ( - 1 + 2 i ) , ( - 1 - 2 i )
Hence The solution of given equation is ( - 1 + 2 i ) , ( - 1 - 2 i ) Answer
Option B:
It is one-half the area of a square of side length 4 units.
Solution:
Base of the triangle = 4 units
Height of the triangle = 4 units
Area of the triangle =
Area of the triangle = 8 square units
Option A: It is one-half the area of a rectangle of length 4 units and width 2 units.
Area of the rectangle = 4 × 2 = 8 square units
Half of rectangle = square units
It is not true because area of the triangle is 8 square units.
Option B: It is one-half the area of a square of side length 4 units.
Area of the square = 4 × 4 = 16 square units
Half of square = square units
It is true because area of the triangle is 8 square units.
Option C: It is twice the area of a rectangle of length 4 units and width 2 units.
Area of the rectangle = 4 × 2 = 8 square units
Twice of rectangle = 2 × 8 = 16 square units
It is not true because area of the triangle is 8 square units.
Option D: It is twice the area of a square of side length 4 units.
Area of the square = 4 × 4 = 16 square units
Twice of square = 2 × 16 = 32 square units
It is not true because area of the triangle is 8 square units.
Hence Option B is the correct answer.
It is one-half the area of a square of side length 4 units.