Answer:
a-bi
Step-by-step explanation:
If a quadratic equation lx^2+mx+n=0 has one imaginary root as a+bi then the other root is the conjugate of a+bi = a-bi
Because we have l, m and n are real numbers and they are the coefficients.
Sum of roots = a+bi + second root = -m/l
When -m/l is real because the ratio of two real numbers, left side also has to be real.
Since bi is one imaginary term already there other root should have -bi in it so that the sum becomes real.
i.e. other root will be of the form c-bi for some real c.
Now product of roots = (a+bi)(c-bi) = n/l
Since right side is real, left side also must be real.
i.e.imaginary part =0
bi(a-c) =0
Or a =c
i.e. other root c-bi = a-bi
Hence proved.
Answer:
Step-by-step explanation:
The formula for determining simple interest is expressed as
I = PRT/100
Where
I represents interest paid on the amount deposited.
P represents the principal or amount deposited.
R represents interest rate
T represents the duration in years.
From the information given,
P = 2500
R = 1.5%
T = 30 years
I = (2500 × 1.5 × 30)/100 = $1125
the account balance be after 30 years is
1125 + 2500 = $3625
Answer AND Step-by-step explanation:
Everything is in the picture.
<em><u>#teamtrees #PAW (Plant And Water)</u></em>
<em><u></u></em>
<em><u></u></em>
<u>The equation is:</u>
<u />
<u />
Answer:
To calculate the radius of a circle by using the circumference, take the circumference of the circle and divide it by 2 times π.
The two formulas that are useful for finding the radius of a circle are C=2*pi*r and A=pi*r^2.
The diameter is 2 times larger than the radius
Step-by-step explanation:
Hope this helped
:)