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mariarad [96]
2 years ago
11

For which equation does it make the most sense to solve by using the square root property?

Mathematics
2 answers:
ziro4ka [17]2 years ago
8 0
Just took the test, the answer is C.
:)
tino4ka555 [31]2 years ago
3 0

Answer: The answer is (c) 4x^2-5=20.

Step-by-step explanation:  We are given four quadratic equations out ofehich we are to select the one which can be best solved by the square root property.

We can see that the equations x^2+4x=-3,~x^2+2x+1=0,~\textup{and}~2x^2+3x=-3 invove the single power of 'x', so hey can be solved by completing the square method.

But the equation 4x^2-5=20 does not involve x, only x², so it makesthe most sense to solve this equation by square root method. The solution is as follows:

4x^2-5=20\\\\\Rightarrow 4x^2=25\\\\\\\Rightarrow x^2=\dfrac{25}{4}\\\\\\\Rightarrow x=\pm\dfrac{5}{2}.

Thus, the correct option is (c) 4x^2-5=20.

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