Question

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

Answer 1

Answer:

The discriminant of the quadratic equation is 24 .

Step-by-step 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:

$\Delta =\frac{-b\pm\sqrt(b^2-4ac)}{2a}$

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 :)