Answer:
D. {1, 12}
Step-by-step explanation:
4X^2-52x+169=121
The equation can be summarized thus:
4X^2-52x+169-121=0
4X^2-52x+48=0
divide the each number of the equation by 4
4X^2/4-52x/4+48/4=0
x^2-13x+12=0
we need to numbers that when we multiply them the result is 12 and -13 when we add together
-1 and -12(-1-12=-13 and -1*-12=12)
x^2-x-12x+12
x(x-1)-12(x-1)
(x-1)(x-12)
x-1=0 or x-12=0
x=1 or x=12
Answer:
x-intercepts = 1,2, and 4, y-intercept = -8
Step-by-step explanation:
x^3 - 7x^2 - 14x - 8 in factored form is equal to (x-1)(x-2)(x-4).
Solving for x-intercepts:
- We are actually able to solve for all x-intercepts without the given factor. But since we are given one of the factors, our job becomes much easier.
- Using synthetic division, or long division, we factor out the x-intercept 4. Which leaves us with the polynomial x^2 - 3x + 2.
- From here we can separate the polynomial into two binomials.
- x^2 - 3x + 2 = (x-1)(x-2). Giving us all 3 x-intercepts.
- Using Descartes' rules we can identify before even starting the problem how many real x-intercepts there are (Not needed for this problem).
Solving for y-intercept:
- The y-intercept is always the coefficient that does not have any assigned x-variables.
- The coefficient is -8, thus the y-intercept.
- If unsure of the y-intercept, you can always plug in x = 0. Solving for the y-intercept will give you the value of f(0).
- If there is no coefficient, the y-intercept is equal to zero.
Answer:
Exact Form:
log (
7
)
log (
3
)
Decimal Form:
1.77124374
Step-by-step explanation:
