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2 years ago

Solve the equation by completing the square. x²+6x-4=0

Mathematics

1 answer:

zavuch27 [327]2 years ago

5 0

Answer:

x = √13 - 3

x = -√13 - 3

Step-by-step explanation:

Given :

x² + 6x - 4 = 0

Solving :

x² + 6x + 9 - 9 - 4 = 0 [Adding and subtracting 9]
(x + 3)² - 13 = 0 [Group the square term together]
(x + 3)² -13 + 13 = 0 + 13 [Add 13 on both sides]
√(x + 3)² = √13 [Taking square root on both sides]
x + 3 - 3 = ±√13 - 3 [Subtract 3 from both sides]
x = ±√13 - 3

Solutions :

x = √13 - 3
x = -√13 - 3

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13. Translate the following verbal phrase

Artyom0805 [142]

a) algebraic expression

$\frac{3+x}{5}=10$

b) Solve and find value of x

x=47

Step-by-step explanation:

We need to translate the following verbal phrase into an algebraic equation

The quotient of three more than a number and five is ten

Let the number be x

three more than a number is written as: 3+x

Since quotient is 10 so,

The algebraic expression will be:

$\frac{3+x}{5}=10$

Now, solving to find value of x

$\frac{3+x}{5}=10$

Multiplying both sides by 5

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Now Subtract -3 from both sides

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So, value of x=47

Learn More:

You can find more info about translating verbal phrase into an algebraic equation

brainly.com/question/1600376

brainly.com/question/1617787

For finding value of x, more info can be found at:

brainly.com/question/1616605

Keywords: verbal phrase, algebraic expression

#learnwithBrainly

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Solve the equation by completing the square. x²+6x-4=0