Answer:
[tex]\Delta=-124[/tex]
Step-by-step explanation:
The discriminant for a quadratic in standard form is given by the formula:
[tex]\Delta=b^2-4ac[/tex]
We have the equation:
[tex]7x^2-4x+5=0[/tex]
Hence, a=7; b=-4; and c=5.
Therefore, our discriminant will be:
[tex]\Delta=(-4)^2-4(7)(5)[/tex]
Evaluate. Hence, our discriminant is:
[tex]\Delta=16-140=-124[/tex]
Notes:
Since our discriminant is negative, this tells us that the quadratic has no real roots.
