Question

Solve the equation with quadratic formula
15g2+17g-110=0

Answer 1

The solution of the quadratic equation
`15g^(2)+ 17g - 110 = 0` are
`g = (-(10)/(3), (11)/(5))`.

Explanation:

The quadratic equation is:
`15g^(2)+ 17g - 110 = 0`

Use factorization method to determine the roots of g.

Factor the equation
`15g^(2)+ 17g - 110 = 0` as follows:

`15g^(2)+ 17g - 110 = 0\\15g^(2)+ 50g - 33g - 110 = 0\\5g (3g + 10) - 11 (3g + 10) = 0\\(5g - 11) (3g + 10) = 0`

First substitute
`(5g - 11)` equal to 0 and solve for g as follows:

`(5g - 11)=0\\5g=11\\g=(11)/(5)`

Now, substitute
`(3g + 10)`equal to 0 and solve for g as follows:

`(3g + 10)=0\\3g=-10\\g=-(10)/(3)`

So, the solution of the quadratic equation
`15g^(2)+ 17g - 110 = 0` are
`g = (-(10)/(3), (11)/(5))`