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2 years ago

Solve 5x^2-2=-12 by taking the square root

Mathematics

1 answer:

Nady [450]2 years ago

6 0

Answer:

$x = \sqrt{-2} = 2i$

Step-by-step explanation:

$5x^2-2=-12$

$5x^2 =-10$

$x^2 =-2$

$x = \sqrt{-2} = 2i$

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<img src="https://tex.z-dn.net/?f=%20%5Cunderline%7B%20%5Cunderline%7B%20%5Ctext%7BQuestion%7D%7D%7D%20%3A%20" id="TexFormula1"

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See Below.

Step-by-step explanation:

Statements: Reasons:

$1)\text{ } AD\text{ bisects } \angle BAC$ Given

$2)\text{ } \angle BAD \cong \angle CAD$ Definition of Bisector

$\displaystyle 3) \text{ } A D \parallel E C$ Given

$\displaystyle 4)\text{ } \angle CAD\cong \angle ACE$ Alternate Interior Angles Theorem*

$\displaystyle 5) \text{ } \angle BAD\cong \angle BEC$ Corresponding Angles Theorem*

$6)\text{ } \angle CAD\cong \angle BEC$ Substitution

$7)\text{ } \angle ACE\cong\angle BEC$ Substitution

$\displaystyle 8)\text{ } AC = A E$ Isosceles Theorem Converse

*Please refer to the attachment below.

Let me know if you have any questions!

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2 years ago

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