Answer:
Discriminant is 60
Step-by-step explanation:
the discriminant of 
To find discriminant , first we write the equation in the form of


Subtract 2 on both sides

a=3, b=6, c=-2
Formula for discriminant is 
Plug in the values

Discriminant is 60
1 1/2 = 3/2
3/2 ÷3/4 = 3/2 * 4/3 = 12/6 = 2
The root -2 leads to the factor (x+2). The other 2 factors are (x-5) and (x-6).
Then the poly is f(x) = (x+2)(x-5)(x-6).
0.377 + 5.51 = 5.887
Sorry I can only solve the first one. Could you give me a hint on how to do the second one ?
Question 1.x - 7 > - 8
Adding 7 to both sides, we get:
x - 7 + 7 > - 8 + 7
x > -1
Thus the answer to the inequality is option Fourth.Question 2.
A number exceeds 66. Let that number be x. The number exceeds 66 means that the number is larger than 66. So in form of an expression we can write the inequality as:
x is greater than 66
x > 66
So, option 1st gives the correct answer.Question 3.The tiles are square shaped and area of a square can be calculated as the square of its Length.
Area of square = (Length)²
If we are given the Area, we can find the length as:
Length =

For Tile A, the length will be:
So length is a Rational number
For Tile B, the length will be:
So length is a Rational number
For Tile C, the length will be:
So, Length is not Rational.
For Tile D, the length will be:
Length is not Rational
Thus, the lengths of Tile A and Tile B are rational only.
Therefore, the correct answer is 1st option