Solve the equation 30x^2+11x-30=0?

Question

Solve the equation 30x^2+11x-30=0?

Answer 1

quadratic formula not needed, easily factors to

(6x -5) (5x+6)= 0

therefore, x = 5/6 or x = -6/5

Answer 2

There are two ways to approach this problem; Quadratic formula or factoring and using the Zero Product Property (I prefer)

30x^2 + 11x - 30 = 0 Factor using the AC method

30x^2 + 36x - 25x - 30 Factor 30x^2 + 36x and -25x - 30

6x(5x + 6) - 5(5x + 6) Take out the common terms

(5x + 6)(6x - 5) = 0 Zero Product Property

5x + 6 = 0

x = -6/5 ANSWER

6x - 5 = 0

x = 5/6 ANSWER

Make sure you check for any extraneous solutions by substituting your final answer into the orignial equation to make sure it equals.

Answer 3

use the almighty quadratic formula

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

a=30, b=11, c=-30

x=(-11+-sqrt(3721))/60

x=5/6 and -6/5

make it a good day

Answer 4

30x^2+11x-30=0

a=30

b=11

c=-30

-11+/- sqrt 121-4(30)(-30)/60

-11+/- sqrt 121+3600/60

-11+/- sqrt 3721/60

-11+/- 61/60

x=-72/60 =-6/5 or 5/6= 50/60