use the graphing calculator to graph the quadratic function y = x2 − 5x − 36. Which value is a solution of 0 = x2 − 5x − 36?
1 answer:
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:
14
Step-by-step explanation:
To get the answer, add the whole numbers together and then add the fractions together:
9 + 4 = 13
(You can even stop here because 14 is the closest to 13)
Now, add the fractions:
To add fractions you have to have a common denominator. To find the common denominator multiply 3 by 5, and 5 by 3. Like this:
Simplify:
Distribute everything from above
Add
So, the whole fraction will look like this . This is closest to 14.
Hope this helps!! Ask questions if you need!