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Marat540 [252]
3 years ago
15

X2+2x+8=0 solve by completing the square

Mathematics
1 answer:
motikmotik3 years ago
5 0

Answer:

x = i sqrt(7) - 1 or x = -i sqrt(7) - 1

Step-by-step explanation:

Solve for x:

x^2 + 2 x + 8 = 0

Subtract 8 from both sides:

x^2 + 2 x = -8

Add 1 to both sides:

x^2 + 2 x + 1 = -7

Write the left hand side as a square:

(x + 1)^2 = -7

Take the square root of both sides:

x + 1 = i sqrt(7) or x + 1 = -i sqrt(7)

Subtract 1 from both sides:

x = i sqrt(7) - 1 or x + 1 = -i sqrt(7)

Subtract 1 from both sides:

Answer:  x = i sqrt(7) - 1 or x = -i sqrt(7) - 1

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The bottom of Ignacio's desktop is 74.5cm from the floor. Ignacios sits in his adjustable chair, and the tops of his legs are 49
Xelga [282]

Answer:

Number of rotations r < 5.25

Step-by-step explanation:

Given: bottom of the desktop is 74.5 cm from the floor.

Top of Ignacio's legs are 49.3 cm from the floor.

Each clockwise rotation on the knob raises Ignacio's legs by 4.8 cm.

To find: Inequality to determine the number of clockwise rotations r, Ignacio could make with the knob without his legs touching the desk.

Solution: Distance between Ignacio's legs and the base of the desktop = 74.5 -49.3 = 25.2

Therefore inequality will be

Height raised in one rotation × r < 25.2

4.8×r < 25.2

r < 25.2÷4.8

r  < 5.25

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4 years ago
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3 years ago
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4 years ago
Evaluate 7+(-4×^2)for ×=0
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Given that (-6,5) is on graph of f(x) find the corresponding point for the function f(x)-4
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