# What are the solution(s) of: #3x^2 - 8x + 5 = 0#?

##### 2 Answers

Apr 13, 2018

#### Explanation:

Apr 13, 2018

#### Explanation:

#"using the a-c method to factorise"#

#"the factors of the product "3xx5=15#

#"which sum to - 8 are - 3 and - 5"#

#"split the middle term using these factors"#

#3x^2-3x-5x+5=0larrcolor(blue)"factor by grouping"#

#color(red)(3x)(x-1)color(red)(-5)(x-1)=0#

#"take out the common factor "(x-1)#

#rArr(x-1)(color(red)(3x-5))=0#

#"equate each factor to zero and solve for x"#

#x-1=0rArrx=1#

#3x-5=0rArrx=5/3#