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makkiz [27]
2 years ago
14

Example Solve the quadratic equation x² - 6x +13=0

Mathematics
1 answer:
EastWind [94]2 years ago
8 0

x^2-6x+13=0\\\\\implies x^2-6x =-13\\\\\implies x^2 -2\cdot 3 \cdot x+3^2 -3^2 =-13\\\\\implies (x-3)^2 -9 = -13\\\\\implies (x-3)^2 = -13 +9 = -4\\\\ \implies x-3 =\pm\sqrt{-4} \\\\\implies x -3 = \pm2i\\\\\implies x = \pm 2i +3\\\\\text{Hence,}~ x = 3 + 2i, ~~  x = 3-2i

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Solve 5r2 – 12 = 68. {±4} {±5} {±3} {±6}
sashaice [31]

Hey there!

Assuming you meant

5r^2 - 12 = 68

If so, follow these steps so it can be a little bit easier to solve

Firstly, we have to add by 12 on each of your sides

5r^2 -12 +12 \\ \\ 68 + 12

5r^2 = 5r^2 \\ \\ 68 + 12 = 80

We get: 5r^2 =80

Now, we have divide by 5 on each of your sides

\frac{5r^2}{5} = \frac{80}{5}

\frac{80}{5}  = 16

We get: r^2 = 16

r = ± \sqrt{16}

Therefore , your answer is:r = ±4

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

3 0
3 years ago
What percent of 132 grams is 43.2 grams ?? ​
alexira [117]
The equation would be 43.2 divided by 132 which would give you .32 aka 32%
8 0
3 years ago
1. What is the center and radius of the circle?<br> (x-4)² + (x-7) ² - 49
tester [92]

Answer:

Center at (4, 7) and radius is √49, or 7

Step-by-step explanation:

Didn't you mean (x-4)² + (y-7) ² = 49?

Comparing          (x-4)² + (y-7) ² = 49

to                          (x - h)^2 + (y - k)^2 = r^2, we see that the center is at (h, k)  =>  (4, 7) and that the radius is √49, or 7.

4 0
3 years ago
What term does not describe polygon A'B'C'D'?
Musya8 [376]

Answer:

B

Step-by-step explanation:

because its the poestis if if slamingo and it is accros he 77 and 33 and 55,and to make sure,the image is alos across

hope that helped

7 0
3 years ago
Read 2 more answers
0.54 can it be written as a fraction? and also dose it repeat decimal of care on repeats numbers.
Ostrovityanka [42]
0.54 = fiftyfour hundredths = 54/100 <span />
8 0
3 years ago
Read 2 more answers
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