Question

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

Answer 1

x = 0 or
`x = (17)/(3)`

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)  - (17)/(3)x ) = 0`

⇒
`x^(2) - 2 * ((17)/(6)) * x + ((17)/(6) )^(2) = ((17)/(6) )^(2)`

⇒
`(x - (17)/(6))^(2) = ((17)/(6) )^(2)`

Now,square rooting both sides we get,

`x - (17)/(6) = \pm(17)/(6)`

Therefore, either x = 0 or
`x = (17)/(3)` (Answer)