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2 years ago

What is the most logical first step in solving the equation x2 + 6x +9 = 10?

Mathematics

1 answer:

Shalnov [3]2 years ago

8 0

Answer:

Step-by-step explanation:

The logical step is to <u>factorize the left side of the equation</u>, which becomes:

(x + 3)² = 10

Then, you can take the square root on both sides.

x + 3 = ±√10
x = ±√10 - 3

Not asked, but good to understand the procedure regardless.

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Which two values of x are roots of the polynomial below? x^2-3x+5

Gemiola [76]

Given:

Polynomial $x^2-3x+5$

To find:

The values of x.

Solution:

$x^2-3x+5=0$

Quadratic equation formula:

$$x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

Here $a=1, b=-3, c=5$ .

Substitute the values in the formula, we get

$$x=\frac{-(-3) \pm \sqrt{(-3)^{2}-4 \cdot 1 \cdot 5}}{2 \cdot 1}$

$$x=\frac{3 \pm \sqrt{9-20}}{2}$

$$x=\frac{3 \pm \sqrt{-11}}{2}$

$$x=\frac{3 - \sqrt{-11}}{2} \ \text{and} \ x=\frac{3 + \sqrt{-11}}{2}$

Option E and option F are the roots of the polynomial.

The values of x are $x=\frac{3 - \sqrt{-11}}{2} \ \text{and} \ x=\frac{3 + \sqrt{-11}}{2}$ .

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3 years ago

(04.02 LC)

Mademuasel [1]

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(2,4) 2 sodas to 4 juices

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4 years ago

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4 years ago

Mario compares random download times of movies from three different services using the table below.

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Answer:

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4 years ago