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

2 Answers
G_Dub
Apr 13, 2018

x=5/3, 1

Explanation:

3x^2-8x+5=0

(3x-5)(x-1)=0 factorise

3x-5=0 or x-1=0 solve

therefore x=5/3, 1

Jim G.
Apr 13, 2018

x=1" or "x=5/3

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

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