Question #adc2d

1 Answer
Jun 16, 2017

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