<span>The general form of quadratic equation with real
coefficients and leading coefficient 1, has x = -bi as a root
=> x = <u>-b + </u></span><u>√ b^2 – 4 ac</u><span>
2a
It is also written as:
=> ax^2 + bx + c = 0
Quadratic equation involves unknown numbers which is x, the numbers which a, b
and c are called coeffecients.
There are also quadratic factorization where you factor the polynomial give to
be able to get the value of the equation.</span>
Answer:
The dimensions of the garden is 102 feet by 68 feet
Step-by-step explanation:
Here, we want to get the width and length of the garden
The perimeter is represented by the length of the fencing
From the question;
w = 2l/3
The formula for the perimeter is;
P = 2(l + w)
Thus;
340 = 2(l + 2l/3)
170 = (l + 2l/3)
Multiply through by 3
510 = 3l + 2l
5l = 510
l = 102 feet
w = 2/3 * l
w = 2/3 * 102
w = 68 feet
Given parameters:
Current population = 530,300 people
Growth rate = 0.8% per year
Unknown
Population in 15 more years = ?
To solve this problem, we must compound the increase per year.
This implies that we treat the problem like that of a compound interest.
Since we know that population increases by 0.8%,
it is similar to 1 +
= 1.008 increase
Now the population in 15years will be;
530300 x (1.008)¹⁵ = 597626 people
So, the population after 15yrs is 597626 people