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Use the quadratic formula to solve x² + 7x + 8 = 0. What are the solutions to the equation? Round irrational solutions to the nearest tenth.  

x=−6.9 and x=−0.15
x=−7 and x=−1
x=−5.6 and x=−1.4
x=−8 and x = 1

Respuesta :

avihu
option 3 is correct


check the image for explain
Ver imagen avihu
facundo3141592

The solutions of the quadratic equation are:

x = -1.4 and x = -5.6

How to solve a quadratic equation?

For a general quadratic equation:

a*x^2 + b*x + c = 0

The solutions are given by:

[tex]x = \frac{-b \pm \sqrt{b^2 - 4ac} }{2a}[/tex]

In this case, our quadratic equation is:

x^2 + 7x + 8 = 0

So we have:

  • a = 1
  • b = 7
  • c = 8.

Replacing that we get:

[tex]x = \frac{-7 \pm \sqrt{7^2 - 4*1*8} }{2*1}\\\\x = \frac{-7 \pm 4.1 }{2}[/tex]

So the two solutions are:

x = (-7 + 4.1)/2 = -1.45

x = (-7 - 4.1)/2 = -5.55

Roundin to the nearest tenth we get:

x = -1.4 and x = -5.6

If you want to learn more about quadratic equations, you can read:

https://brainly.com/question/1214333

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