Question

Which statement about the following equation is true?

3x2 – 8x + 5 = 5x2

A.The discriminant is less than 0, so there are two real roots.
B.The discriminant is greater than 0, so there are two real roots.
C.The discriminant is less than 0, so there are two complex roots.
D.The discriminant is greater than 0, so there are two complex roots.

Answer 1

B

Explanation:

Edge2020

Answer 2

The given expression is

`3x^2 -8x +5 = 5x^2`

We have to find the discriminant first . And for that, first we need to move whole terms of the left side to right side, that is

`5x^2 -3x^2 +8x -5=0`

`2x^2+ 8x -5 =0`

The formula of discriminant is

`D =b^2 -4ac`

Substituting the values of a,b and c, we will get

`D = 8^2 -4(2)(-5)=64+40 = 104`

And since the discriminant is greater than 0, or it is positive so we have two real roots.

Therefore the correct option is B .