Answer:
Step-by-step explanation:
Given
--- a point on the parabola
Required
The equation
First, calculate the equation from the zeros
Substitute and
To solve for k, we substitute
Divide by -4
So, the equation is:
Write <em>z</em> in polar form:
<em>z</em> = 1 + √3 <em>i</em> = 2 exp(<em>i</em> <em>π</em>/3)
Taking the square root gives two possible complex numbers,
√<em>z</em> = √2 exp(<em>i</em> (<em>π</em>/3 + 2<em>kπ</em>)/2)
with <em>k</em> = 0 and <em>k</em> = 1, so that
√<em>z</em> = √2 exp(<em>i</em> <em>π</em>/6) = √(3/2) + √(1/2) <em>i</em>
and
√<em>z</em> = √2 exp(<em>i</em> 7<em>π</em>/6) = -√(3/2) - √(1/2) <em>i</em>
let, x be the no of coins then according to question.Mary have 3x no of coins and John have x no of coins..
now, 3x+x=180
or,4x=180
or,x=180/4
therefore, x= 45
thus mary has 3×45=135 no of coins...
