what is the solution to the equation fraction 4 over 5 n minus fraction 3 over 5 equals fraction 1 over 5 n? n = 1 n = −3 n = fr
2 answers:
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Answer:
Perimeter = feet
Area = 60 feet²
Step-by-step explanation:
Let us revise the rules of perimeter and area of a rectangle
- Perimeter = 2(Length + width)
- Area = Length × Width
→ From the given figure
∵ The length = feet
∵ The width = 5 feet
→ Simplify the roots
∵
∴
∴ The length = feet
∵
∴
∴ The width = feet
→ Perimeter = 2(Length + width)
∵ Perimeter =
∴ Perimeter =
∴ Perimeter = feet
→ Area = Length × Width
∵ Area = ×
∴ Area =
∴ Area = 60 feet²
The solutions for the given equation are x = -1 and x = 3/4. Using the quadratic formula, the solutions for the given equation are calculated.
The formula which is used to calculate the roots(solutions) of the quadratic equation in the form is
x = [- b ± ]/2a
The given equation is
In comparison with the standard form of quadratic equation ,
we get, a = 4, b = 1 and c = -3
So, solving the given equation using the quadratic formula,
x = [- b ± ]/2a
= [- 1 ± ]/2(4)
= [-1 ± ]/8
= (-1 ± 7)/8
Thus, x = (-1 + 7)/8 = 3/4 and x = (-1-7)/8 = -8/8 = -1
Therefore, the solutions of the given equation are x = -1 and x = 3/4.
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