#26 What are the solutions to the equation 4x2 - 52x + 169 = 121?

Mathematics

1 answer:

Sloan [31]3 years ago

3 0

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

You might be interested in

A study conducted at a certain college shows that 65% of the school's graduates find a job in their chosen field within a year

alexdok [17]

Answer: 0.009

Step-by-step explanation:

Formula we use here : Binomial distribution formula

Probability of getting success sin x trial = $P(X)=^nC_xp^x(1-p)^{n-x}$ , where n is the sample size and p is the probability of success in each trial .

Given : A study conducted at a certain college shows that 65% of the school's graduates find a job in their chosen field within a year after graduation.

i.e. p= 0.65

Sample size : n= 11

Now, the probability that 11 randomly selected graduates all find jobs in their chosen field within a year of graduating:-

$P(X)=^{11}C_{11}(0.65)^{11}(1-0.65)^{11-11}\\\\=(1)(0.65)^{11}(1)\\\\=0.00875078317401\approx0.009$