Question

Solve for d: 3d^2 + d − 10 = 0.

Answer 1

The values of d are -2 and 5/3.

Explanation:

The given equation is

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

We need to solve for d.

Splitting the middle term we get

`3d^2+6d-5d-10=0`

`3d(d+2)-5(d+2)=0`

`(d+2)(3d-5)=0`

Using zero product property we get

`d+2=0\Rightarrow d=-2`

`3d-5=0\Rightarrow d=(5)/(3)`

Therefore, the values of d are -2 and 5/3.