Answer:
x1, x2 = 7.73 , 4.27
Step-by-step explanation:
To find the roots of a quadratic function we have to use the bhaskara formula
ax^2 + bx + c
x^2 - 12x + 33
a = 1 b = -12 c = 33
x1 = (-b + √ b^2 - 4ac)/2a
x2 =(-b - √ b^2 - 4ac)/2a
x1 = (12 + √(-12^2 - (4 * 1 * 33))) / 2 * 1
x1 = (12 + √(144 - 132)) / 2
x1 = (12 + √12) / 2
x1 = (12 + 3.46) / 2
x1 = 15.46 / 2
x1 = 7.73
x2 = (12 - √(-12^2 - (4 * 1 * 33))) / 2 * 1
x2 = (12 - √(144 - 132)) / 2
x2 = (12 - √12) / 2
x2 = (12 - 3.46) / 2
x2 = 8.54 / 2
x2 = 4.27
Substitute x + 1 as x in the equation of the function:

Used

Answer:
1st one is positive
2nd one is negative
3rd one is negative
4th one is positive
Step-by-step explanation:
Answer:
A) The value of a is <u>29</u>.
B) The value of b is <u>greater than 29</u>.
C) In both part A and part B we have used a common property which is addition property and that we have add 9 on both side of equation in both parts.
D) The value of a in part A is equal to 29 whereas in part B the value of b is greater than 29.
Step-by-step explanation:
Solving for Part A.
Given,

We have to solve for a.

By using addition property of equality, we will add both side by 9;

Hence the value of a is <u>29</u>.
Solving for Part B.
Given,

We have to solve for b.

By using addition property of inequality, we will add both side by 9;

Hence the value of b is <u>greater than 29</u>.
Solving for Part C.
In both part A and part B we have used a common property which is addition property and that we have add 9 on both side of equation in both parts.
Solving for Part D.
The value of a in part A is equal to 29 whereas in part B the value of b is greater than 29.
Answer: k = -2
solution: 2kx-3k<2x+4+3kx,
-3k-4<2x+3kx-2kx,
-3k-4<(k+2)x
Since this inequality has no solution, k = -2.