Answer:
x = ±4 (x = 4 and x = -4)
Step-by-step explanation:
4x²-16 = x²+32
3x²-16 = 32
3x² = 48
x² = 16
x = ±4
Therefore, x = 4 and x = -4
Answer:
Step-by-step explanation:
Let the smallest angle be x.
Then, the middle angle is x+30.
The largest angle is 2x+30.
Angles in a triangle add to 180 degrees, so:
So, the angles measure
2/5 x 60 = 24
2/5 x (4x - 1) = x+5
8x - 2 = 5x + 25
3x = 27
x = 9
The value of x is 9
We use the FOIL method here. First, Outer, Inner, and Last.
(5x)(x) = 5x^2
(5x)(-7) = -35x
(2)(x) = 2x
(2)(-7) = -14
5x^2 - 35x + 2x - 14
Now combine like terms.
5x^2 - 33x - 14.
This is the right answer because it is now in the form of ax^2 + bx + c