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Korolek [52]
3 years ago
14

Using the Quadratic Formula: x = −b ± b2− 4ac√2a solve for the following Quadratic trinomial: x2−10x + 4.75 Explain each step: 1

. How did you find the a, b and c? 2. How did you fill in the quadratic formula? Show 3. Where did you start? 4. What are your steps 5. What is your answer.
Mathematics
1 answer:
Komok [63]3 years ago
6 0

Answer:

x = 19/2 and 1/2

Step-by-step explanation:

General form of a quadratic equation is expressed as:

ax²+bx+c = 0... (1)

The quadratic formula used to find the solution to the equation is given as:

x = -b±√b²-4ac/2a

Given the quadratic trinomial: x²−10x + 4.75... (2)

a) To get a, b and c, we will compare the given equation (2) to the general equation (1)

Based on the comparison,

a = 1, b = -10 and c = 4.75

b) We will substitute this values of a, b and c into the quadratic formula to have;

x = -(-10)±√(-10)²-4(1)(4.75)/2(1)

x = 10±√100-19/2

x = 10±√81/2

x = (10±9)/2

x = (10+9)/2 and (10-9)/2

x = 19/2 and 1/2

The answer to the equation are 19/2 and 1/2

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Explanation:

You can check your answer by making sure that each of the primes you found is actually a prime. (Compare to a list of known primes, for example.) After you have determined your factors are primes, multiply them together to see if the result is 73. If so, you have found the correct prime factorization.

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What is the reduced answer to 4/9 multiples by 4/5 equal
deff fn [24]
First, we know that when multiplying fractions, we multiply both the numerator and denominator.

so, in 4/9 • 4/5,
4•4 = 16, and
9•5 = 45

so, 4/9 • 4/5 = 16/45.
now, we’ll look for the Least Common Factor

factors are numbers that you can multiply together to = another number.
the LEAST common Factor is the # that is smallest that you can divide both numbers by, in an equation and get a whole number.

for instance, 3•3 and 1•9 are the only ways to get 9, so, the factors are 1, 3, 9

let’s look for the LCF in 16 and 45. -
if we find the ways to get 16, we have:
1•16, 2•8, and 4•4
so, the factors are 1, 2, 4, 8, and 16.
this is called FACTORING :)

the ways to get 45 are...
1•45, 3•15, and 5•9, so the FACTORS are
1, 3, 5, 9, 15, & 45.
- compare the factors of 16 & 45,
none of them are the same besides 1, and we know that dividing these numbers by 1 will not do anything.

because of this, we can not reduce 16/45, so the reduced answer to 4/9 • 4/5 = 16/45
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