Garden A has a diameter of 50 m and garden B has a diameter of 70 m. How much more edging will be needed for the larger garden t
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How the quadratic formula works:
For any quadratic equation ax² + bx + c = 0, the solution is
.
In the case of our equation 7x² - x = 7, first we need to subtract 7 from each side so that we have 0 on the right.
7x² - x - 7 = 0
Identify the values of a, b, and c.
a = 7, b = -1, and c = -7.
Plug these into our quadratic formula and solve.
There are two values for x: (1+√197)/14 and (1-√197)/14.
The approximate values for these are 1.073976 and -0.931119.
For any quadratic equation ax² + bx + c = 0, the solution is
In the case of our equation 7x² - x = 7, first we need to subtract 7 from each side so that we have 0 on the right.
7x² - x - 7 = 0
Identify the values of a, b, and c.
a = 7, b = -1, and c = -7.
Plug these into our quadratic formula and solve.
There are two values for x: (1+√197)/14 and (1-√197)/14.
The approximate values for these are 1.073976 and -0.931119.
Given:
The sequence is:
To find:
The 6th term of the given sequence.
Solution:
We have,
Here, the first term is:
The ratio between consecutive terms are:
The given sequence has a common ratio 5. So, the given sequence is a geometric sequence.
The nth term of a geometric sequence is:
Where, a is the first term and r is the common ratio.
Substitute to get the 6th term.
Therefore, the 6th term of the given sequence is 50000.