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Crazy boy [7]
2 years ago
11

Solve x2 – 7x = –13.

Mathematics
2 answers:
vampirchik [111]2 years ago
8 0
This results in a non-real solution X= 7/2 + i (sqrt 3)/2 and x= 7/2 - i (sqrt 3)/2
aleksklad [387]2 years ago
6 0

we have

x^{2} -7x=-13

Complete the square. Remember to balance the equation by adding the same constants to each side

x^{2} -7x+3.5^{2}=-13+3.5^{2}

x^{2} -7x+12.25=-13+12.25

x^{2} -7x+12.25=-0.75

Rewrite as perfect squares

(x-3.5)^{2}=-0.75

remember that

i=\sqrt{-1}

Square root both sides

(x-3.5)=(+/-)\sqrt{-0.75}

(x-3.5)=(+/-)\sqrt{-1*0.75}

(x-3.5)=(+/-)\sqrt{0.75}i

x1=3.5+\sqrt{0.75}i

x2=3.5-\sqrt{0.75}i

Simplify

\sqrt{0.75}=\frac{\sqrt{3}}{2}

x1=3.5+\frac{\sqrt{3}}{2}i

x2=3.5-\frac{\sqrt{3}}{2}i

therefore

<u>the answer is</u>

x1=3.5+\frac{\sqrt{3}}{2}i

x2=3.5-\frac{\sqrt{3}}{2}i

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Someone plz answer.....
BabaBlast [244]

Answer:

50°

Step-by-step explanation:

angle 5 = angle 4 ( Alternative Interior Angles are equal )

But angle 3 & angle 4 are linear pairs. So,

angle 3 + angle 4 = 180°

=> angle 3 + angle 5 = 180° (angle 5 = angle 4)

=> angle 3 + 130° = 180°

=> angle 3 = 180° - 130° = 50°

6 0
3 years ago
6 (3x-1)-10x. with work please :)
STatiana [176]
Hey there!
Let's break this expression into two parts:
6(3x-1) and -10x

To solve the first part, we need to use the distributive property which states:
a(b+c) = ab+ac

Applying that to this problem, we have:
6(3x) + 6(-1) =
18x - 6

Now, we can take that -10x and put it right back in:

18x - 6 - 10x

Combine like terms and subtract the 10x from the 18x to get:
8x - 6

Hope this helps!
4 0
3 years ago
Mary spent half of her allowance going to the movies. She washed the family car and earned seven dollars. What is her weekly all
Nata [24]

Answer:If Mary spent half of her allowance the equation will begin with 1/2x or 0.5x where x is her allowance and 0.5 is half of her allowance spent. Mary also earned 7 dollars by washing the car so this will be added to her allowance spent.

The problem says that after Mary has spent half of her allowance at the movies she was left with 18 dollars so that means that the equation must be equal to 18.

The equation you want to set up is

0.5x+7=18

Where, 18-7=11

0.5x=11

11/.5 = x

x = $22

Thus, Mary has a weekly allowance of 22 dollars.

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
F(x)=2x an$ g(x)=2x+3,what is the value of f(g(-8))
Fudgin [204]

First plug in g(x) into f(x)

F((g(x))=2(2x+3)

And now you plug in -8

F(g(-8))=2(-16+3)

F(g(-8))=2(-13)

F(g(-8))=-26

6 0
2 years ago
What’s is the vertex y=x^2-2x+26
andreev551 [17]

Answer:

(1, 25)

Step-by-step explanation:

Convert to vertex form so that the equation is (x - 1)^2 + 25

If 1 is <em>h </em>and 25 is <em>k</em>, (<em>h, k</em>), the result would be (1, 25)

5 0
3 years ago
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