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astra-53 [7]
3 years ago
5

(x+7)^2+9=0 Find x with quadratics

Mathematics
2 answers:
Ne4ueva [31]3 years ago
6 0

Answer:

x = -7 ±3i

Step-by-step explanation:

(x+7)^2+9=0

Subtract 9 from each side

(x+7)^2+9-9=0-9

(x+7)^2=-9

Take the square root of each side

sqrt((x+7)^2) = ±sqrt(-9)

We know sqrt(ab) = sqrt(a) sqrt(b)

x+7 = ±sqrt(-1) sqrt(9)

We know that sqrt(-1) is the imaginary number i

x+7 = ±i *3

x+7 =±3i

Subtract 7 from each side

x+7-7 = -7 ±3i

x = -7 ±3i

ryzh [129]3 years ago
3 0

Answer:

x = -7 + 3i, -7 - 3i

Step-by-step explanation:

(x + 7)² + 9 = 0

(x + 7)² = -9

(x + 7) = +- 3i

x + 7 = 3i

x = -7 + 3i

x + 7 = -3i

x = -7 - 3i

x = -7 +- 3i

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Answer:

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Step-by-step explanation:

The question says "6 <em><u>more</u></em> students chose duck <em><u>than</u></em> chose penguin"

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N² + 14 = 12n<br>how do I solve by quadratic formula ​
inysia [295]

Answer:

n = 6 + \sqrt{22}  or  n = 6 - \sqrt{22}

Step-by-step explanation:

We can solve this equation using the quadratic formula OR Completing the Square method.

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rearrange :  n² - 12n + 14  = 0  

here  a= 1 , b = -12,  c = 14

the quadratic formula says:   x =  - b/ (2a)  +  root(b^2 - 4ac) / (2a)

or  x =  - b/ (2a)  -  root(b^2 - 4ac) / (2a)

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x = 6  +  root (144 - 56) / 2

x = 6 + root(88)/2

x = 6 + root(4*22) / 2

x = 6 + 2*root(22)/2

x = 6 + root(22)  = 6 + \sqrt{22}

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In this case  x = n

n = 6 + \sqrt{22}  or  n = 6 - \sqrt{22}

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3 years ago
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Step-by-step explanation:

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Wewaii [24]

Answer:

\large\boxed{\sqrt{137}\approx11.7}

Step-by-step explanation:

The formula of a distance between two points:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

We have two points (1, -5) and (-3, 6). substitute:

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