Question

What is the first step in solving the quadratic equation x2 = 9/16

Answer 1

The equation is $\displaystyle{ x^2= \frac{9}{16}$. We can rewrite the equation as:

                                    $\displaystyle{ x^2= (\frac{3}{4})^2$.

Our next step here is to take the square root of both sides, remembering that $\sqrt{x^2}=|x|$.

Thus, we have $\displaystyle{ |x|= \frac{3}{4}$. Our final step is solving the absolute value equation, which yields:

$\displaystyle{ x= \frac{3}{4}$ or $\displaystyle{ x= -\frac{3}{4}$.


 Solution set: { $-\frac{3}{4}, \frac{3}{4}$ }

Answer 2

Answer:

x² = (9/16)

The first step is to take square root of both sides.

√x² = √(9/16)

x = 3/4

Answer:  take the square root of both sides of the equation