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Alborosie
3 years ago
7

How to solve x^2+8x+3 using the quadratic formula​

Mathematics
1 answer:
Schach [20]3 years ago
7 0

Answer:

x = sqrt(13) - 4 or x = -4 - sqrt(13)

Step-by-step explanation:

Solve for x:

x^2 + 8 x + 3 = 0

Hint: | Solve the quadratic equation by completing the square.

Subtract 3 from both sides:

x^2 + 8 x = -3

Hint: | Take one half of the coefficient of x and square it, then add it to both sides.

Add 16 to both sides:

x^2 + 8 x + 16 = 13

Hint: | Factor the left hand side.

Write the left hand side as a square:

(x + 4)^2 = 13

Hint: | Eliminate the exponent on the left hand side.

Take the square root of both sides:

x + 4 = sqrt(13) or x + 4 = -sqrt(13)

Hint: | Look at the first equation: Solve for x.

Subtract 4 from both sides:

x = sqrt(13) - 4 or x + 4 = -sqrt(13)

Hint: | Look at the second equation: Solve for x.

Subtract 4 from both sides:

Answer: x = sqrt(13) - 4 or x = -4 - sqrt(13)

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Answer:

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Step-by-step explanation:

(5)

Since ∠EBA = 90° then ∠ABD = 90° ( straight angle ) and

∠ABC + ∠CBD = ∠ABD, that is

2x + 3x - 10 = 90, simplifying

5x - 10 = 90 ( add 10 to both sides )

5x = 100 ( divide both sides by 5 )

x = 20, thus

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4x - 18 = 3x + 7 ( vertical angles are congruent )

Subtract 3x from both sides

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7 0
3 years ago
Find the least common denominator for these two rational expressions. B/b^2 -64 -7b/b^2+7b-8
san4es73 [151]

Answer:

The least common denominator is (b-8)(b+8)(b-1)

Step-by-step explanation:

We are given expression as

\frac{b}{b^2-64}-\frac{7b}{b^2+7b-8}

Firstly, we will factor both denominators

b^2-64=b^2-8^2=(b-8)(b+8)

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so, we can plug it back

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First term denominator is

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Second term denominator is

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So,

Least common denominator will be

(b-8)(b+8)(b-1)

So, we get

LCD=(x-8)(x+8)(x-1)


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