Answer:
Step-by-step explanation:
x² - (α + β)x + αβ = 0
α+β= 3 +2/5
[tex]=\frac{3*5}{1*5}+\frac{2}{5}=\frac{15}{5}+\frac{2}{5}\\\\=\frac{17}{5}[/tex]
αβ=3*2/5 = 6/5
[tex]x^{2}-\frac{17}{5}x+\frac{6}{5}=0[/tex]
Multiply by 5
[tex]5*x^{2}-5*\frac{17}{5}x+5*\frac{6}{5}=0\\\\5x^{2}-17x+6=0[/tex]
