Question

What is the discriminant of the quadratic equation 2x + 5x2 = 1?

Answer 1

The discriminant of the quadratic equation is 24 .

Explanation:

Discriminant form of the quadratic equation .

D = b² - 4ac

As the quadratic equation in the form.

2x + 5x² = 1

Simplify the above term

5x² + 2x - 1 = 0

As the quadratic equation in the form

ax² + bx + c =0

Here a = 5 , b = 2 , c= -1

put in the formula

D = 2 × 2 - 4× 5 × -1

D = 4 +20

D = 24

Therefore the discriminant of the quadratic equation 5x² + 2x - 1 = 0 is 24 .

Answer 2

`5x^2+2x-1=0`

Delta equation is:


`\Delta =(-b\pm\sqrt(b^2-4ac))/(2a)`

but we are interested in
`b^2-4ac` because it determines the discriminant


`5^2-4*2*(-1)=25+8=33`


`33>0`

which means that discriminant is positive :)