Answer:
x = - 4 and x = 9
Step-by-step explanation:
Given
x² - 36 = 5x ( subtract 5x from both sides )
x² - 5x - 36 = 0
Consider the factors of the constant term (- 36) which sum to give the coefficient of the x- term (- 5)
The factors are - 9 and + 4, since
- 9 × 4 = - 36 and - 9 + 4 = - 5, thus
(x - 9)(x + 4) = 0
Equate each factor to zero and solve for x
x - 9 = 0 ⇒ x = 9
x + 4 = 0 ⇒ x = - 4
 
        
             
        
        
        
Answer:

Step-by-step explanation:
<u><em>Given Equation is </em></u>
=> 
Comparing it with  , we get
, we get
=> a = 2, b = 7 and c = -9
So,
Sum of roots = α+β = 
α+β = -7/2
Product of roots = αβ = c/a
αβ = -9/2
<em>Now, Finding the equation whose roots are:</em>
α/β ,β/α
Sum of Roots = 
Sum of Roots = 
Sum of Roots = 
Sum of roots = 
Sum of roots = 
Sum of Roots = 
Sum of roots = 
Sum of roots = S = 
Product of Roots = 
Product of Roots = P = 1
<u><em>The Quadratic Equation is:</em></u>
=> 
=> 
=> 
=> 
This is the required quadratic equation.
 
        
                    
             
        
        
        
Answer:
34.5 ft
Step-by-step explanation:
~Refer to the attachment for the solution.
 
        
             
        
        
        
Answer:
6. 60°
7. 5.19559
8. 7.96011
Step-by-step explanation:
6. The sum of angles in a triangle is 180°, so the remaining angle is ...
   180° -40° -80° = 60°
7. The lengths of sides are proportional to the sine of the opposite angle (Law of Sines).
   a = c·sin(A)/sin(C) = 7·sin(40°)/sin(60°) ≈ 5.19559
8. Same explanation as 7.
   b = c·sin(B)/sin(C) = 7·sin(80°)/sin(60°) ≈ 7.96011   
 
        
                    
             
        
        
        
Answer:
. finding and losing treasure. In level 2, Leslie earned -22 points when a storm blew a treasure chest off her ship. Then, she earned 34 ... a storm blew a treasure chest off her ship. Then, she earned 34 points for finding more treasure on the deserted island. What is the overall change in Leslie's score during level 2? ansver.
Step-by-step explanation: