Question

Compare the three equation and make a statement to describe them

Answer 1

Answer:

What equation?

Answer 2

Equations are used to represent equal expressions.

The statement that describes all three equations is that: they all represent perfect squares

The equations are given as:

$x^2 - 81 = 0$

$b^2 - 49 = 0$

$3c^2 - 75 = 0$

By observation, we can see that all three equations represent perfect squares.

The proof is as follows:

$x^2 - 81 = 0$

$x^2 = 81$

Take square roots

$x = 9$

$b^2 - 49 = 0$

$b^2 = 49$

Take square roots

$b = 7$

$3c^2 - 75 = 0$

$3c^2 = 75$

Divide by 3

$c^2 = 25$

Take square roots

$c = 5$

Hence, the statement that describes all three equations is that: they all represent perfect squares

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