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.
Answer:
You will have 14 gallons of paint left over.
Step-by-step explanation:
If you divide a mural into 6 sections, and paint each section with 3 gallons of paint per section, that means you are using 3 gallons of paint 6 times.
3 x 6 = `18
Therefore, you will be using 18 gallons of paint for the mural, and when you subtract 18 gallons from the original 32 gallons of paint, you get 14 gallons left over.
Answer:
There are no solutions. this equation seems wrong
Step-by-step explanation:
1/4+1/4+1/4+1/4+1/4+1/4+<span>1/4+1/4 = 8 Miles
1/4+1/4 = 1/2 Mile
1/2+1/2 = 1 Mile
1+1 = 2 Miles</span>
Answer will be A, and if you need help with math work Connects is a great app to use
