The quadratic equation in its generic form is:
ax2 + bx + c
To complete squares we must add the following term:
(b / 2) ^ 2
The equation is:
ax2 + bx + c + (b / 2) ^ 2
We have the following equation:
x ^ 2 - 5x + k = 7
By completing squares we have:
x ^ 2 - 5x + (-5/2) ^ 2 = 7 + (-5/2) ^ 2
Rewriting:
x ^ 2 - 5x + 6.25 = 7 + 6.25
Answer:
A constant term should be used to complete the square is:
6.25
Answer: - 8
Step-by-step explanation:
3+(−4)−8−(−1)
3 - 4 - 8 + 1
3 - 12 + 1
-9 + 1
- 8
Answer:
8
Step-by-step explanation:
The intersecting chord theorem is expressed as;
7 * x = 4 * 14
7x = 56
Divide both sides by 7
7x/7 = 56/7
x = 8
Hence the value of x is 8
Answer:
5 bows
Step-by-step explanation:
Total feets of ribbon = 3 1/2
Fraction required to make a bow = 2/3
Number of bows that can be made = (total ribbon / Fraction required to make a bow)
3 1/2 ÷ 2/3
7/2 ÷ 2/3
7/2 * 3/2
= 21 / 4
= 5.25
Answer:
Multiply 4 to the terms inside the parentheses.
(12x+8)-2
Remove the parentheses and equate it to zero.
12x+8-2 = 0
Simplify
12x+6 = 0
Transpose 6 to the other side.
12x = -6
Divide bith sides by 12.
12x/12 = -6/12
Simplify.
x = -6/12 or -½