Question

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

Check all that apply

A. x = 9
B. x = 6
C. x = -9
D. x = 0

Answer 1

A. x = 9

D. x = 0

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