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Anvisha [2.4K]
3 years ago
9

the first three steps of completing the square to solve the quadratic equation X2+4X-6=0 are shown below. what re the next 3 ste

ps
Mathematics
1 answer:
Vilka [71]3 years ago
3 0

Answer:

see the explanation

Step-by-step explanation:

<u><em>The complete question is</em></u>

The first three steps of completing the square to solve the quadratic equation x2 +4x -6= 0, are shown below.

Step 1: x2 +4x= 6

Step 2: x2 +4x+4=6+4

Step 3: (x +2)^2=10

What are the next 3 steps?​

we have

step 4

Take square root both sides

\sqrt{(x+2)^2} =\sqrt{10}

step 5

Simplify

x+2=\pm\sqrt{10}

step 6

Solve for x

subtract 2 both sides

x=-2\pm\sqrt{10}

x_1=-2+\sqrt{10}

x_2=-2-\sqrt{10}

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For this problem, we are going to use the <em>law of sines</em>, which states:

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\dfrac{\sin{39^{\circ}}}{11} = \dfrac{\sin{B}}{13}


We can use this to solve for B:

13 \cdot \dfrac{\sin{39^{\circ}}}{11} = \sin{B}

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C = 180^{\circ} - 48.1^{\circ} - 39^{\circ} = 92.9^{\circ}


Using this, we can find c:

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