The discriminant is b^2-4ac
ax^2+bx+c=0
x^2+11x-10=0
11^2-4(1)(-10)
1. Simplify 11^2 to 121
121-4(1)(-10)
2. Simplify 4*1*-10 to -40
121-(-40)
3. Simplify brackets
121+40
4. Simplify
161
Your discriminant is 161
Answer:
48 sq. units
Step-by-step explanation:
The area of a trapezoid is given by half sum of the bases multiplied by the height

where a and b are the two parallel sides of the trapezoid and h is the height or amplitude of the trapezoid
But you are aware that, the median of a trapezoid is equal to half the sum of the bases, thus the first part of the formulae is covered by the median

Hence area, A, of a trapezoid is simplified to product of median and amplitude

Answer:
f(x) = 
Step-by-step explanation:
First of all, if 2 - i is a zero, then so is 2 + i
All you need to do now is multiply (x - 1)(x - 3)(x - 2 + i)(x - 2 - i)
I will do part of that multiplication
(x - 2 + i)(x - 2 - i) =
- 2x - xi - 2x + 4 + 2i + xi - 2i - 
=
- 4x + 5
So, now (x - 1)(x - 3)(
- 4x + 5) = 
I will let you finish that multiplication. I did some and you can do some. OK?
X = -b/2a
x = -8/4
x = -2
Plug -2 in for x and solve for y
y = 2(-2)^2 + 8(-2) -3
y = 8 -16 -3
y = -11
Vertex (-2, -11)