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# Question

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hellpp Oct 11, 2018

#1
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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.
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

Oct 11, 2018

#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.
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