Solve each equation and leave the answer in terms of “i”

1 answer:

3 0

17)
x² + 8 = -8
x² = -8 - 8
x² = 16
x = ±√-16
x = ±√16i
x = ±4i

18)
x² + 5 = -3
x² = -3 - 5
x² = -8
x = ±√-8
x = ±√8i
x = ±2√2i

19)
x² + 3 = 0
x² = -3
x = ±√-3
x = ±√3i

hope this helps, God bless!

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Solve for x x + y = 1 x + 7y = -4 2x - 6y = 4 5x + 15y = -10 2x + 6y = 10

Arada [10]

X + y = 1
add - y both sides
x + y + - y = 1 + - y
x = - y + 1
Answer: x = - y + 1
Graph: y = - x + 1

x + 7y = - 4
add - 7 both sides
x + 7y + - 7y = - 4 + -7y
x = - 7y - 4
Answer: x = - 7y - 4
Graph: y = 0.142857x - 0.571429

2x - 6y = 4
add 6y to both sides
2x - 6y + 6y = 4 + 6y
2x = 6y + 4
divide both sides by 2
2x/2 = 6y + 4/2
x = 3y + 2
Answer: x = 3y + 2
Graph: y = 0.333333x - 0.666667

5x + 15y = - 10
add - 15 to both sides
5x + 15y + - 15y = - 10 + - 15y
5x = - 15y - 10
divide both sides by 5
5x/5 = - 15y - 10/5
x = - 3y - 2
Answer: x = - 3y - 2
Graph: y = - 0.333333x - 0.666667

2x + 6y = 10
add - 6y to both sides
2x + 6y + - 6y = 10 + - 6y
2x = - 6y + 10
divide both sides by 2
2x/2 = - 6y + 10/2
x = - 3y + 5
Answer: x = -3y + 5
Graph: y = - 0.333333x + 1.666667

Hope that helps!!!

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3 years ago

What is the value of x in the equation

Lera25 [3.4K]

The answer to that is 2

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3 years ago

Value of 3x^2 +4y^2 if x=2, y=1, and z= -3

Dennis_Churaev [7]

$3x^2+4y^2\\\\\text{Put the values of x=2, y=1 and z=-3 to the expression:}\\\\3(2^2)+4(1^2)=3(4)+4(1)=12+4=16$

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3 years ago

<img src="https://tex.z-dn.net/?f=2x%2B3%3D8%3Cbr%3E%0A" id="TexFormula1" title="2x+3=8&#10;" alt="2x+3=8&#10;" align="a

ruslelena [56]

$x\in \mathbb{R}$

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3 years ago

How would I figure out what L= is if V=168 yd W= 7 yd H= 3 yd?

Mariulka [41]

We can assume that the shape is a rectangular prism by the given dimensions

Volume of a rectangular prism
Volume = Area of Base × Height of prism
= Length × Width × Height of prism
Substitute!
168 = L × 7 × 3
168 = L × 21
Divide 21 on either sides to isolate L

$\frac{168}{21}$ = $\frac{L*21}{21}$
21 and 21 cancels out

8 = L
L = 8 yd

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3 years ago