◆ COMPLEX NUMBERS ◆
125 ( cos 288 + i sin 288 ) can be written as -
125.e^i( 288)
125.e^i( 288 +360 )
125.e^i( 288+ 720)
[ As , multiples of 360 can be added to an angle without changing any trigonometric functions or sign ]
To find the cube root , take the cube root of above 3 expressions ,
We get -
5 e^( i 96 )
5 e^( i 216 )
5 e^( i 336 )
Now using Euler's formula , We rewrite above as -
5 ( cos 96 + i sin 96 )
5(c os 216 + i sin 216 )
5 ( cos 336 + i sin 336 ) Ans.
Answer:
Step-by-step explanation:
let sum of zeros=s
and product of zeros=p
then quadratic equation is x²-sx+p=0
x²-(-1/2)x+(-3)=0
x²+1/2 x-3=0
2x²+x-6=0
Answer:
Step-by-step explanation:
-1 ≤ x < 3 Solution set = {-1, 0 ,1 , 2}
-2 < x < 2 Solution set = {-1 , 0 , 1}
Integer values that satisfies both inequalities are -1 , 0 , 1
A perfect square is a number made by squaring a whole number.
Since
numbers 1, 16, 100 are perfect squares. You cannot find such whole number n, that
therefore, numbers 2, 18, 32, 44, 94 are not perfect squares.
Answer: 1, 16, 100.
Answer: -15x^3y^7
Step-by-step explanation:
-5x^2y^4(3xy^3)
Multiplty the coefficients
Multiply the x terms
and fianally multiply the y terms
-5(3) = -15
x^2 * x = x^3
y^4* y^3 = y^7
= -15x^3y^7
