A student's rectangular desk is 30in long and 18in wide. The teacher's desk is similar to the student's desk and has a length of
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The solutions of the quadratic equation x² - 5x - 36 = 0 are -4 and 9.
The graph is attached below.
- We are given a quadratic function.
- A polynomial equation of degree two in one variable is a quadratic equation.
- The function given to us is :
- y = x² - 5x - 36
- We need to find the solution of the quadratic function.
- To find the roots, let y = 0.
- x² - 5x - 36 = 0
- Use the quadratic formula.
- In elementary algebra, the quadratic formula is a formula that gives the solution(s) to a quadratic equation.
- x = [-b±√b²-4ac]/2a
- x = [-(-5) ± √25 - 4(1)(-36)]/2(1)
- x = (5 ± √25 + 144)/2
- x = (5 ± √169)/2
- x = (5 ± 13)/2
- x = 9 or x = -4
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Answer:
The explicit formula for the given expression is .
Step-by-step explanation:
The given sequence is
-7, -4, -1, 2, 5
The difference between two consecutive terms is same, therefore the given sequence is an arithmetic sequence.
The first term of the given AP is -7 and the common difference is
The explicit formula for an AP is
Where, a is first term, d is common difference and n is number of terms.
Substitute a=-7 and d=3 in the above equation.
Therefore the explicit formula for the given expression is .