Answer:
Discriminant is 24 and the equation has 2 real roots.
Step-by-step explanation:
To find the number of real roots for a quadratic, we apply the discriminate. The discriminate is the inside portion of the square root from the quadratic formula.
• [tex]b^2-4ac>0[/tex] yields 2 real roots
• [tex]b^2-4ac=0[/tex] yields 1 real root
• [tx]b^2-4ac<0[/tex] yields no real roots
Our the equation is [tex]2x+5x^2=1[/tex] can be arranged to [tex]5x^2+2x-1[/tex] where a=5, b=2, and c=-1.
[tex]b^2-4ac=(2)^2-4(5)(-1)=4+20=24<0)[/tex]. The equation has 2 real roots
.
