Question

How do I solve x(3x-17)=0 using the square root property

Answer 1

Answer:

x = 0 or $x = \frac{17}{3}$

Step-by-step explanation:

We have the quadratic equation of variable x and we have to solve the equation using the square root property.

Now, we have x(3x - 17) = 0

⇒ 3x² - 17x = 0

⇒ $3(x^{2} - \frac{17}{3}x ) = 0$

⇒ $x^{2} - 2 \times (\frac{17}{6}) \times x + (\frac{17}{6} )^{2} = (\frac{17}{6} )^{2}$

⇒ $(x - \frac{17}{6})^{2} = (\frac{17}{6} )^{2}$

Now,square rooting both sides we get,  

$x - \frac{17}{6} = \pm\frac{17}{6}$

Therefore, either x = 0 or $x = \frac{17}{3}$ (Answer)