Answer:
The factored form of the equation is (x + 4)(x – 6) = 0.
Step-by-step explanation:
(x – 4)(x + 2) = 16
Foil the left side
x^2 +2x-4x-8 =16
Combine like terms
x^2 -2x-8 = 16
Subtract 16 from each side
x^2 -2x-8-16 =16-16
x^2 -2x-24 =0
Factor the left hand side
What two numbers multiply to -24 and add to -2
-6*4 =-24
-6+4 = -2
(x-6) (x+4) =0
Solving using the zero product property
x-6 =0 x+4=0
x=6 x=-4
Answer:
x=70
Step-by-step explanation:
To solve this problem, you set up the equation 45+(2x-5)=180
Next, subtract 45 from 180 to get the equation 2x-5=135
After that, add 5 to 135 to get 2x=140
Divide 140 by 2 to get X=70
It's the first one. That is a perfect square polynomial, which, when factored, will give you the same binomial twice, or multiplicity 2. It will factor to
, where the vertex (h, k), is (-9, 0).
We can use elimination to solve the system:
x+2y=0 Multiply the first equation by negative 2 so we can eliminate
2x+4y=0
-2-4y=0 Add them, -2X+2X= 0, -4Y+4Y= 0
2x+4y=0
0=0
Since 0 is indeed equal to 0 you have INFINITELY MANY SOLUTIONS.
you could also put both equation in slope intercept form and see if the slopes and Y-intercept are the same.
X-intercept : -9 (-9,0)
y-intercept: 3 (0,3)
