Question

Question #adc2d

Answer 1

`x=2/3` or `x=-5`

Explanation:

Use quadratic formula. Quadratic formula is:

`x=(-b+-sqrt(b^2-4(a)(c)))/(2a)`

Our equation is already in the form `Ax^2+Bx+C` where `A=3`, `B=13`, and `C=-10`

`x=(-13+-sqrt(13^2-4(3)(-10)))/(2(3))`

Solve inside the square root:

`13^2-4(3)(-10)=169+120=289`

So we have:

`x=(-13+-sqrt(49))/((2)(3))`

Simplify:

`x=(-13+-17)/(6)`

This becomes:

`x=4/6` or `x=-30/6`

Simplify:

`x=2/3` or `x=-5`