Question

How many solutions does 3x^2+11x+10=0 have

Answer 1

2 solutions

Explanation:

3x^2+6x+5x+10=0

(3x)x(x+2)+5(x+2)=0

(x+2)x(3x+5)=0

x+2=0

3x+5=0

x=-2

x=-5/3

Answer 2

Explanation:

Let's find the discriminant
`\Big(√(b^2-4ac)\Big)`

`√(11^2-4(3)(10)) = 1`

It is a positive number, therefore there are 2 solutions