SOLUTION: Good Afternoon,
Could someone please assist me that has the knowledge that I lack and that's the exact steps on how write a quadratic equation in standard form with the given s
Question 362065: Good Afternoon,
Could someone please assist me that has the knowledge that I lack and that's the exact steps on how write a quadratic equation in standard form with the given soltuion set. I am required to show all of my work, so if you could show and explain each step, I would be most grateful.
11.3, # 16:
Directions: Write a quadratic equation in standard form with the given solution set.
x^2-5x-6=0 (should read x squared-5x-6=0)
Also, the book shows the answer to be {-1,6}I appreciate your assistance. Answer by ewatrrr(24785) (Show Source):
Hi,
Quadratic functions in standard form
f(x) = a(x - h)2 + k where (h,k) is the vertex point
x^2-5x-6=0
completing the square by adding and subtracting (5/2)^2 = 25/4
f(x)= x^2-5x + 25/4 - 25/4-24/4
f(x)= (x - 5/2)^2 - 49/4
x^2-5x-6=0
solving by factoring
(x-6)(x+1) = 0
(x-6)=0
x = 6
(x+1) = 0
x = -1
Solution Set is {-1,6}
