#1**+1 **

Solve for x:

4 x^2 + 48 x + 44 = 924

Write the quadratic equation in standard form.

Divide both sides by 4:

x^2 + 12 x + 11 = 231

Solve the quadratic equation by completing the square.

Subtract 11 from both sides:

**x^2 + 12 x = 220**

Take one half of the coefficient of x and square it, then add it to both sides.

Add 36 to both sides:

x^2 + 12 x + 36 = 256

Factor the left hand side.

Write the left-hand side as a square:

(x + 6)^2 = 256

Eliminate the exponent on the left-hand side.

Take the square root of both sides:

x + 6 = 16 or x + 6 = -16

Look at the first equation: Solve for x.

Subtract 6 from both sides:

x = 10 or x + 6 = -16

Look at the second equation: Solve for x.

Subtract 6 from both sides:

x = 10 or x = -22 - discard this one. **The dimensions of the Cuboid are:**

**4 cm**, 10+1 =**11 cm**, 10+11 =**21 cm**

Guest Oct 11, 2018

#1**+1 **

Best Answer

Solve for x:

4 x^2 + 48 x + 44 = 924

Write the quadratic equation in standard form.

Divide both sides by 4:

x^2 + 12 x + 11 = 231

Solve the quadratic equation by completing the square.

Subtract 11 from both sides:

**x^2 + 12 x = 220**

Take one half of the coefficient of x and square it, then add it to both sides.

Add 36 to both sides:

x^2 + 12 x + 36 = 256

Factor the left hand side.

Write the left-hand side as a square:

(x + 6)^2 = 256

Eliminate the exponent on the left-hand side.

Take the square root of both sides:

x + 6 = 16 or x + 6 = -16

Look at the first equation: Solve for x.

Subtract 6 from both sides:

x = 10 or x + 6 = -16

Look at the second equation: Solve for x.

Subtract 6 from both sides:

x = 10 or x = -22 - discard this one. **The dimensions of the Cuboid are:**

**4 cm**, 10+1 =**11 cm**, 10+11 =**21 cm**

Guest Oct 11, 2018