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:
0.01296
Step-by-step explanation:
I looked it up on this website: https://www.symbolab.com/solver/simplify-calculator/simplify%206%5E%7B-1%7D.6%5E%7B5%7D?or=input
That's the link to the solution, it shows you the steps, and you can look up other <em>simplify </em>questions there. It used to help me a lot.
Answer:
y = 3x + 40
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 3 , then
y = 3x + c ← is the partial equation
To find c substitute (- 12, 4 ) into the partial equation
4 = - 36 + c ⇒ c = 4 + 36 = 40
y = 3x + 40 ← equation of line
Domain means which values the function can have which make it true or Possible to solve
So all you got to do is set the denominator = to 0 and solve for x
You will get x=7
4/(7-7) is not possible
So x cannot equal to 7 because you cant divide a number by 0!