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harina [27]
3 years ago
11

Solve x2 - 8x = 3 by completing the square. Which is the solution set

Mathematics
1 answer:
Simora [160]3 years ago
3 0

Answer:

4\pm\sqrt{19}

Step-by-step explanation:

Move everything to left side

x^{2} -8x -3 =0

Now to solve this square equation we need to find Descriminant

D=b^{2} -4ac=64+12=76

As Descriminant D is greater than 0 then we have 2 solutions which we can calculate by this formula

x_{1,2}=\frac{-b\pm\sqrt{D}}{2a} =\frac{8\pm2\sqrt{19}}{2}=4\pm\sqrt{19}

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The slope of this graph is - 4

Step-by-step explanation:

The slope of a line is m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} , where

  • (x_{1},y_{1}) and (x_{2},y_{2}) are two points on the line
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∵ The graph is a line

∵ The line passes through points (1 , -2) and (0 , 2)

∴ x_{1} = 1 and x_{2} = 0

∴ y_{1} = -2 and y_{2} = 2

- Substitute these values in the rule below

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∴ m=\frac{2--2}{0-1}=\frac{4}{-1}

∴ m = - 4

The slope of this graph is - 4

Learn more:

You can learn more about the slope of a line in brainly.com/question/4152194

#LearnwithBrainly

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