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
7*5 = 35
There are 5 1/5 in every whole, and 7 wholes... 7*5
Hope this helps :)
X = 3 and x = -1 are the answers for both. They are exactly the same equation.
FOR COMPLETING THE SQUARE
Make in terms of ()^2 which you can do by adding numbers to both sides. Eventually it will look like this:
(2x - 1)^2 - 7 = 0
Add to both sides, take a square root and then solve.
USE THE QUADRATIC FORMULA
Be sure to solve for zero and be aware of negatives when plugging in.
Answer:
(1.37) AUB = { 1,2,3,4,5,6}
(1.38) AUC = { 1,2,3,4,5 }
(1.39)BUC = { 1,2,3,4,5,6}
(1.40) { 2,4 }
(1.41) { 1,3,5 }
(1.42) { phi }
(1.43) AU(BUC) = { 1,2,3,4,5,6 }
(1.44) { phi }
(1.45) {1,2,3,4,5}
(1.46) { 1,2,3,4,5 }
F(x) and g(x) were inverse functions, then if f(a) = b, then g(b) = a
f(x) = (5x+1) / x g(x) = x / (5x+1)
f(1) = 6, but g(6) = 6/31 ≠ 1
So, f(x) and g(x) are NOT inverse functions.
