Question

Find the solutions to 6x^2- 54x = 0

Answer 1

Answer:      

A. x = 9

D. x = 0

Step-by-step explanation:

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

in this problem we have            

$6x^{2} -54x=0$              

so

$a=6\\b=-54\\c=0$

substitute in the formula

$x=\frac{-(-54)(+/-)\sqrt{-54^{2}-4(6)(0)}} {2(6)}$

$x=\frac{54(+/-)54} {12}$

$x=\frac{54(+)54} {12}=9$              

$x=\frac{54(-)54} {12}=0$          

therefore

The solutions are x=0 and x=9