Answer:
The last equation x2 - 2x -4 = 0
has solution (x - 1)^2 - 5 = 0, x = 1 + root(5) or x = 1 - root(5)
Step-by-step explanation:
If a quadratic function has roots 1 and 5
f(x) = (x -1)(x- 5)
f(x) = x^2 - 6x + 5
Unless you meant. -4 and 6 ?
g(x) = (x + 4)(x - 6)
g(x) = x^2 -2x -24
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Or did you mean x = 1 and x =4 ?...
x^2 + 2x + 4 = 0 : complete square x^2 + 2x + 1 + 3 = 0, (x+1)^2 + 3 = 0
x^2 - 2x + 4 = 0 : complete square: (x -1)^2 + 3 = 0
0x^2 + 2x - 4 = 0, 2x - 4 = 0, x = 2
x^2 - 2x - 4 = 0 becomes: x^2 - 2x + 1 - 1 -4 = 0 ; (x - 1)^2 - 5 = 0
The answer & explanation for this question is given in the attachment below.
All you need to do is put B+14=X
Y-5=3/2(x+4)
y-5= 3/2x +6
y=3/2x+11
Hope this helps :)
Answer: 10 minivans .
Step-by-step explanation:
Given: There are 35 fourth graders and 40fifth graders in the Robotics Club.
Total people = 35+40 = 75
Since each minivan can only hold 8 people.
Number of minivan required = (Total people) ÷ 8
= 75 ÷ 8
= 9.375≈ 10
Hence, the school needs to rent approx. 10 minivans .