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RideAnS [48]
3 years ago
15

Brainlist to whoever shows me how to solve this step by step.

Mathematics
1 answer:
Andrews [41]3 years ago
4 0

Answer:

  x ∈ {-4, 2}

Step-by-step explanation:

The x-coefficient (+2) is the sum of the constants in the binomial factors of the equation, and the constant term (-8) is their product.

Since you're familiar with the divisors of 8, you know that the two factors of -8 that total +2 are -2 and +4. These are the constants in the binomial factors:

  f(x) = x^2 +2x -8

  f(x) = (x -2)(x +4)

The roots of f(x) are the values of x that make these factors be zero. They are x=2 and x=-4.

The roots of f(x) are -4 and 2.

_____

Above is the solution by factoring. We can also "complete the square" to find the roots. Anytime we're looking for roots, we want the values of x that make f(x) = 0.

  x^2 +2x -8 = 0

  x^2 +2x = 8 . . . . . add the opposite of the constant

  x^2 +2x +1 = 8 +1 . . . . . add the square of half the x-coefficient: (2/2)² = 1

  (x +1)² = 9 . . . . . . . . . . . write as squares

  x +1 = ±√9 = ±3 . . . . . . take the square root

  x = -1 ± 3 . . . . . . . . . . . subtract 1

The roots are x=-4, x=2.

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Guys help me with System of linear equations:
Leni [432]

Step 1: Add the two equations together to get just one equation.

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3 years ago
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A: - 15x - 30/7

Step-by-step explanation:

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julia-pushkina [17]

Answer:

The length of side <em>b</em> is 9.

Step-by-step explanation:

Triangles are similar if they have the same shape, but can be different sizes.

When two figures are similar, the ratios of the lengths of their corresponding sides are equal.

If you know that two objects are similar, you can use proportions and cross products to find the length of an unknown side. We know that the triangle ABC is similar to the triangle XYZ. Therefore the following relation must be true:

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Substituting these values into the above relation and solving for <em>b</em> we get that:

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5 0
3 years ago
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