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Solve -5x^2 = -25 using any method. Round your solutions to the nearest hundredth.

The solutions are x ≈ ___ x ≈ ___

AND

What is the most efficient method for solving this equation?

The most efficient method is ____,

1. Factoring
2. Completing the square
3. Using the Quadratic Formula

AND

.....because the equation _____.

1. Can be written in the form x^2 = d.
2. has a perfect square trinomial on its left side.
3. Is not easily factorable and a ≠ 1
4 Is not easily factorable, but a = 1 and b is even.
4. Is easily factorable.


Sagot :

Answer:

The most efficient method is completing the square because the equation can be written in the form [tex]x^2 - d[/tex]

x ~ 2.24

x ~ -2.24

Step-by-step explanation:

Solve the equation using any method that is efficient. The most efficient method is completing the square, because the equation can be written in the form [tex]x^2 - d[/tex]. Use this method to solve the problem, since the equation is already in the format, [tex]x^2 - d[/tex], all one has to use is inverse operations to solve the equation.

[tex]-5x^2 = -25\\/-5\\\\x^2 = 5\\\sqrt{}\\\\x = +- \sqrt{5}[/tex]

x ~ 2.24

x ~ -2.24