Question

What is the discriminant of the quadratic equation
7x^2-4x+5=0​

Answer 1

-124

Explanation:

The discriminant is given by

b^2 -4ac where ax^2 + bx+c =0

7x^2-4x+5=0​ so a = 7 b = -4 and c = 5

( -4) ^2 - 4(7) ( 5)

16 - 140

-124

Answer 2

`\Delta=-124`

Explanation:

The discriminant for a quadratic in standard form is given by the formula:

`\Delta=b^2-4ac`

We have the equation:

`7x^2-4x+5=0`

Hence, a=7; b=-4; and c=5.

Therefore, our discriminant will be:

`\Delta=(-4)^2-4(7)(5)`

Evaluate. Hence, our discriminant is:

`\Delta=16-140=-124`

Notes:

Since our discriminant is negative, this tells us that the quadratic has no real roots.