Question

What is the discriminant of 3x2 - 10x = -2?
76
94
106
124

Answer 1

Option A.

Explanation:

The given equation is

`3x^2-10x=-2`

It can be rewritten as

`3x^2-10x+2=0`

If a quadratic equation is
`ax^2+bx+c=0`, then discriminant is
`D=b^2-4ac`.

In the given equation a=3, b=-10 and c=2. So, the value of discriminant is

`D=(-10)^2-4(3)(2)`

`D=100-24`

`D=76`

Therefore, the correct option is A.

Answer 2

76

Explanation:

Applying the formula to calculate the discriminant Δ=b2−4(a)(c)

Δ=b2-4(a)(c) with : a=3, b=−10, c=2

Δ=(−10)2−4⋅(3)⋅(2) = 100−24 = 76

The discriminant of the polynomial is equal to 76.