Mathematics: Which equations are true for x = –2 and x = 2? select two options

13.9Step-by-step explanation:To find the mean, add the two numbers and divide by two.(13.9+13.9)/2=13.9...

Which equations are true for x = –2 and x = 2?

Ответ:

kimloveswim

15.01.2022

Mathematics

Complete Question:

Which equations are true for x = –2 and x = 2? Select two options

$x^{2}-4=0$

$x^{2}=-4$

$3 x^{2}+12=0$

$4 x^{2}=16$

$2(x-2)^{2}=0$

The following equations are true for x = -2 and x = 2:

$x^{2}-4=0$

$4 x^{2}=16$

Step-by-step explanation:

Given ‘x’ values are – 2 and 2. To find which equation is true out of all given choices, we have to check the solution obtained from those equations are the same as given ‘x’ values.

Case A:

$x^{2}-4=0$

$x^{2}=4$

$x=\pm 2$ (Means x= - 2 and x = 2)

Case B:

$x^{2}=-4$

There is no solution for the above

Case C:

$3 x^{2}+12=0$

$3 x^{2}=-12$

$x^{2}=\frac{-12}{3}=-4$

There is no solution for the above

Case D:

$4 x^{2}=16$

$x^{2}=\frac{16}{4}$

$x^{2}=4$

$x=\pm 2$ (Means x= - 2 and x = 2)

Case E:

$2(x-2)^{2}=0$

$(x-2)^{2}=0$

$x^{2}-4 x+4=0$

where, $(a-b)^{2}=a^{2}-2 a b+b^{2}$

After factorisation, we get

(x – 2) (x – 2) = 0

x = 2 and x = 2

From all the above, $x^{2}-4=0$ and $4 x^{2}=16$ are true.

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Which equations are true for x = –2 and x = 2? select two options

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