Solve for x: 4x^2 + 2(2x + 2)^2 = 100

Mathematics

2 answers:

balu736 [363]3 years ago

8 0

Would it be 4(1)^2+2(2(1)+2)^2=100

anastassius [24]3 years ago

4 0

Let's solve your equation step-by-step.4x2+2(2x+2)2=100Step 1: Simplify both sides of the equation.12x2+16x+8=100Step 2: Subtract 100 from both sides.12x2+16x+8−100=100−10012x2+16x−92=0Step 3: Use quadratic formula with a=12, b=16, c=-92.x=−b±√b2−4ac2ax=−(16)±√(16)2−4(12)(−92)2(12)x=−16±√467224x=−23+13√73 or x=−23+−13√73Answer:x=−23+13√73 or x=−23+−13√73

You might be interested in

The number of a two dollar bill i need to pay for a purchase is 9 more than the number of 5 dollar bills i need to pay for the s

melisa1 [442]

Answer:

$60

Step-by-step explanation:

Let's say we need t $2 bills and v $5 bills.

We need 9 more $2 bills than $5 bills, so:

t = 9 + v

We also know that the amount of money in t $2 bills is 2 * t = 2t. The amount of money in v + 9 $5 bills is 5 * (v + 9) = 5v + 45. These amounts are equal:

5v + 45 = 2t

Plug v + 9 in for t in 5v = 2t + 18:

5v = 2t + 18

5v = 2 * (9 + v) + 18

5v = 18 + 2v + 18

3v = 36

v = 12

We have 12 $5 bills, so that total cost is 12 * 5 = $60.

~ an aesthetics lover

5 0

3 years ago

You recently sent out a survey to determine if the percentage of adults who use social media has changed from 66%, which was the

il63 [147K]

Answer:

The 98% confidence interval estimate of the proportion of adults who use social media is (0.56, 0.6034).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.