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alexgriva [62]
3 years ago
11

Please solve ASAP i need this for a quiz bc last day to complete

Mathematics
1 answer:
trapecia [35]3 years ago
6 0
Can’t see questions!
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Factor 4x^4+7x^2-2=0
natulia [17]

Answer:

(2x-1)(2x+1)(x^2+2) = 0

Step-by-step explanation:

Here's a trick:  Use a temporary substitution for x^2.  Let p = x^2.  Then 4x^4+7x^2-2=0 becomes 4p^2 + 7p - 2 = 0.  

Find p using the quadratic formula:  a = 4, b = 7 and c = -2.  Then the discriminant is b^2-4ac, or (7)^2-4(4)(-2), or 49+32, or 81.  

Then the roots are:

       -7 plus or minus √81

p=   --------------------------------

                        8

p = 2/8 = 1/4 and p = -16/8 = -2.

Recalling that p = x^2, we let p = x^2 = 1/4, finding that x = plus or minus 1/2.  We cannot do quite the same thing with the factor p= -2 because the roots would be complex.

If x = 1/2 is a root, then 2x - 1 is a factor.  If x = -1/2 is a root, then 2x+1 is a factor.  

Let's multiply these two factors, (2x-1) and (2x+1), together, obtaining 4x^2 - 1.  Let's divide this 4x^2 - 1 into 4x^4+7x^2-2=0.  We get x^2+2 as quotient.

Then, 4x^4+7x^2-2=0 in factored form, is (2x-1)(2x+1)(x^2+2) = 0.

6 0
3 years ago
It's costs $2.80 to make a sandwich at the local deli shop to make a profit the deli sells it at a price that is 170% of the cos
docker41 [41]
The sandwich is sold for $4.76

Explanation-

Divide the total cost of the sandwich by 100 to find what 1% would equal (0.028) then multiple that by the percent the deli sells the sandwich( 170%) which gets you $4.76
8 0
3 years ago
Victor borrowed money at 5.25 percent simple annual interest. At the end of the year, the interest on the loan is $255.94. What
11Alexandr11 [23.1K]

Answer: 4,875.05

Step-by-step explanation:

I took the quiz

3 0
3 years ago
Read 2 more answers
Write the equation of the line.
Oksana_A [137]
Y = 1/3x - 2.
If you sub in 0, you’ll get (0, -2) which is the y intercept.
4 0
2 years ago
Read 2 more answers
Which table shows a linear function?<br> Will mark brainliest
IRISSAK [1]

Answer:

All of them

Step-by-step explanation:

none of the graphs repeat any numbers on the x

8 0
3 years ago
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