What is the discriminant D of the equation? 3g² + 15g + 10 = 0

Verified Answer :

D=b^2-4ac=225-4x3x10=225-120=105

Answer:

Discriminant D of the equation 3g² + 15g + 10 = 0 is 105 .

Step-by-step explanation:

Formula

\(D = b^{2} - 4ac\)

As the equation given in the question

3g² + 15g + 10 = 0

The general form of equation is in the form .

ax² + bx + c = 0

a = 3 , b = 15 , c = 10

Put all the values in the formula

\(D = 15^{2} - 4\times 3\times 10\)

As

15 ² = 225

\(D = 225 -120\)

D = 105

Therefore the discriminant D of the equation 3g² + 15g + 10 = 0 is 105 .