In quadratic equations,
a + b = -B
ab = C
where a and b are the roots, B is the second term, and C is the constant.
Substituting,
a + b = -12
ab = 35
The values of a and b from the equation is -7 and -5. Thus, the lesser root is -7.
Answer:
Step-by-step explanation:
AB = 8x + 5
BC = 5x² - 16
5x² - 16 = 8x + 5
5x² - 8x - 21 = 0
Quadratic formula
x = [8 ± √(8² – 4·5(-21))] / [2·5]
= [8 ± √484] / 10
= [8 ± 22] /10
= -1.4, 3
-1.4 is an extraneous solution.
x = 3
AB = 8x+5 = 29
AC = 58
Answer:
2157
Step-by-step explanation:
The given function is

We want to find f(c) when c=3.
This means the remainder when f(x) is divided by x-3
We perform the synthetic division:
5 10 3 8 -6 -3
<u>3| 15 75 234 726 2160</u>
5 25 78 242 720 2157
Therefore the remainder is 2157
You are right