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.
Use PEMDAS:
P Parentheses first
E Exponents (ie Powers and Square Roots, etc.)
MD Multiplication and Division (left-to-right)
AS Addition and Subtraction (left-to-right)
A. 14 + 2 × 5 = 14 + 10 = 24 ≠ 22
B. (14 + 2) × 5 = 16 × 5 = 80 ≠ 22
C. 24 - 6 ÷ 3 = 24 - 2 = 22
D. (24 - 6) ÷ 3 = 18 ÷ 3 = 6 ≠ 22
<h3>Answer: C.</h3>
If you need 150g of flour for 12 cakes, that means you need 12.5 g of flour per cake. So if you multiply that by 30 it gives you
375g of flour
The answer would be (x+3)^2+4
Answer:
Step-by-step explanation:
<u>80:50:20 or 8:5:2. 8 ÷ 15 * 30 = 16 = 16 - 10 = 6. This is the solution.</u>
- Option A. 30 + 10 = 40. Incorrect. The solution is unequal to this.
- Option B. 30 + 9 = 39. Incorrect. The solution is unequal to this.
- Option C. 30 + 8 = 38. Incorrect. The solution is unequal to this.
- Option D. 30 + 7 = 37. Incorrect. The solution is unequal to this.
- Option E. 30 + 6 = 36. Correct. The solution equals this answer.
<u>Option E will be the answer.</u>
