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3 years ago

7

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

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.<span><span><span>4<span>x2</span></span>+<span>2<span><span>(<span><span>2x</span>+2</span>)</span>2</span></span></span>=100</span>Step 1: Simplify both sides of the equation.<span><span><span><span>12<span>x2</span></span>+<span>16x</span></span>+8</span>=100</span>Step 2: Subtract 100 from both sides.<span><span><span><span><span>12<span>x2</span></span>+<span>16x</span></span>+8</span>−100</span>=<span>100−100</span></span><span><span><span><span>12<span>x2</span></span>+<span>16x</span></span>−92</span>=0</span>Step 3: Use quadratic formula with a=12, b=16, c=-92.<span>x=<span><span><span>−b</span>±<span>√<span><span>b2</span>−<span><span>4a</span>c</span></span></span></span><span>2a</span></span></span><span>x=<span><span><span>−<span>(16)</span></span>±<span>√<span><span><span>(16)</span>2</span>−<span><span>4<span>(12)</span></span><span>(<span>−92</span>)</span></span></span></span></span><span>2<span>(12)</span></span></span></span><span>x=<span><span><span>−16</span>±<span>√4672</span></span>24</span></span><span><span>x=<span><span><span>−2</span>3</span>+<span><span><span><span>13</span><span>√73</span></span><span> or </span></span>x</span></span></span>=<span><span><span>−2</span>3</span>+<span><span><span>−1</span>3</span><span>√73</span></span></span></span>Answer:<span><span>x=<span><span><span>−2</span>3</span>+<span><span><span><span>13</span><span>√73</span></span><span> or </span></span>x</span></span></span>=<span><span><span>−2</span>3</span>+<span><span><span>−1</span>3</span><span>√<span>73</span></span></span></span></span>

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Alchen [17]

Answer:

When we have a rectangle of length L and width W, the area is calculated as:

A = W*L

In this case, W = x, and the area is:

A = 2*x

Then we must have L = 2.

We know that the area of the window and the frame (together) is:

a = 2*x^2 + 12*x + 16

The area of the frame alone, will be equal to the difference between the area of both objects (a) and the area of the window alone (A)

area of the frame = a - A

= (2*x^2 + 12*x + 16) - (2*x) = (2*x^2 + 10*x + 16)

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aleksklad [387]

Answer:

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Step-by-step explanation:

$\left(-3\right)^4$

Use exponent rule $\left(-a\right)^n=a^n$ :

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Answer:

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