11. What is the positive solution to this equation?
4x2+ 12 x= 28

x = sqrt(37)/2 - 3/2

approximately 1.54

Step-by-step explanation:

Solve for x over the real numbers:

4 x^2 + 12 x = 28

Divide both sides by 4:

x^2 + 3 x = 7

Add 9/4 to both sides:

x^2 + 3 x + 9/4 = 37/4

Write the left hand side as a square:

(x + 3/2)^2 = 37/4

Take the square root of both sides:

x + 3/2 = sqrt(37)/2 or x + 3/2 = -sqrt(37)/2

Subtract 3/2 from both sides:

x = sqrt(37)/2 - 3/2 or x + 3/2 = -sqrt(37)/2

Subtract 3/2 from both sides:

|

| x = sqrt(37)/2 - 3/2 or x = -3/2 - sqrt(37)/2

m

step-by-step explanation:

1^3 + 2^3 + 3^3 +4^3 = (1+2+3+4)^2

step-by-step explanation:

i am only able to answer the first part. i am not sure about the second part. sorry