How do you find the roots of the equation #30x-45=5x^2# by factoring?

1 Answer
May 24, 2018

#x=3" with multiplicity 2"#

Explanation:

#"rearrange into standard form ";ax^2+bx+c=0#

#"subtract "30x-45" from both sides"#

#0=5x^2-30x+45#

#"divide through by 5"#

#0=x^2-6x+9=(x-3)^2#

#x-3=0rArrx=3" with multiplicity 2"#
graph{5x^2-30x+45 [-10, 10, -5, 5]}