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:
B) 1, 8, √65
Step-by-step explanation:
For 3 side lengths to form a triangle the sum of two random sides must be bigger than the third side and their differences must be smaller than the third side.
1+8 > √65 because √65 is approximately 8.1
8-1 < √65
A) 0 represents the surface of the pool.
B) The height of the pool is 10 above the pool surface
C) It should be -3 since it is going down so it is going to be a negative number and it is also below the pool's surface.
Answer:
95/4
Step-by-step explanation:
Given,
a/b =2/3
Therefore, 2a²+3b²/a²+b² = ?
We get,
a/b = 2/3
So, we can write
a = 2 and b = 3
Now,
2×(2)² + 3×(3)²/(2)² + (3)² [Putting the values of a and b]
= 2×4 + 3×9/4 + 9
= 8 +27/4 + 9
= (32+27+36)/4 [ Taking L.C.M, we get 4]
= 95/4
Answer:
-2= 1/5x-2 +9
-2= -0.4 +9
Step-by-step explanation:
