Solve the equation for
x
by finding
a
,
b
, and
c
of the quadratic then applying the quadratic formula.
Exact Form:
x
=
−
3
±
√
6
3
Decimal Form:
x
=
−
0.18350341
…
,
−
1.81649658
…
Answer:
-5+√3i is the given root so -5-√3i must be the other root
Step-by-step explanation:
We know that complex roots must come in pairs. The pairs are complex conjugates. (a+bi) and (a-bi)
You are missing a sign between -5 and the square root
So if - 5+ sqrt(3) i is a root, then -5 - sqrt(3) i must be a root
if -5 - sqrt(3)i is a root, then -5 + sqrt(3)i must be a root.
I will assume you missed a + sign
-5+√3i is the given root so -5-√3i must be the other root
Steps:
Question 1:
Step 1: Multiply both sides by h+0.5.
Step 2: Factor out variable f.
Step 3: Divide both sides by h^2+0.5h.
Question 2
Let's solve for g.
Step 1: Divide both sides by h.
Answers:
1: f=45h+42.5/h²+0.5h
2: g=16.5h+53.25/h
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<em><u>Hope this helps.</u></em>
Answer:
The amount of interest is $5580.
Step-by-step explanation:
Given : Jacob borrowed $30, 000 to start up his consulting business. The loan had simple interest rate of 6.2% for 3 years.
To find : The amount of interest he will pay with the loan ?
Solution :
Using interest formula,
Where, P is the principal P=$30,000
R is the rate of interest R=6.2%=0.062
T is the time t=3 years.
Substitute the value in the formula,
Therefore, The amount of interest is $5580.
