Answer:
Two distinct real roots
Step-by-step explanation:
Rearrange terms in descending order: [tex]x^{2} -10x+3=0[/tex]
Find discriminant of quadratic equation through (b^2-4ac ): Δ[tex]=b^{2} -4ac[/tex]
Identify a,b,c througn coefficient: [tex]\left \{ {{A=1} \atop {B=-10}} \atop {{c=3}\right.[/tex]
Substitute the value of a,b,c and calculate discriminant: Δ=88
Determine number of solution through discriminant: two distinct real roots
Answer: two distinct real roots