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3 years ago

Solve the equation 2x^2+16x-11=-7 by completing the square. Show your work Please.

Mathematics

1 answer:

Gnesinka [82]3 years ago

5 0

Answer:

x₁ = - 4 + 3√2

x₂ = - 4 - 3√2

Step-by-step explanation:

Hi !

2x² + 16x - 11 = - 7

2x² + 16x - 11 + 7 = 0

2x² + 16x - 4 = 0 | : 2

x² + 8x - 2 = 0

a = 1 ; b = 8 ; c = - 2

x = (- b ± √b² - 4ac)/2a

x = (-8 ± √8² - 4×1×-2)/2×1

x = 2(-4 ± √3√2)/2

x = - 4 ± 3√2

x₁ = - 4 + 3√2

x₂ = - 4 - 3√2

Good luck !

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Answer:

see explanation

Step-by-step explanation:

(a)

The consecutive angles are supplementary, sum to 180° , then

3y + 2y - 5 = 180

5y - 5 = 180 ( add 5 to both sides )

5y = 185 ( divide both sides by 5 )

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Then ∠ A = 3y = 3 × 37 = 111

The opposite angles are congruent , then

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3x = 108 ( divide both sides by 3 )

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---------------------------------------------------------------------

(b)

The diagonals bisect each other , so

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2x = 8 ( divide both sides by 2 )

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5 0

3 years ago

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2 years ago

Read 2 more answers

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Mrac [35]

Answer:

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