Question

Factor the trinomial 6x^2+5x- 25

Answer 1

Answer:

x = 5/3    or   x = -5/2

(3x-5) or (2x+5)

Step-by-step explanation:

Given in the question an equation

6x²+5x- 25

here a = 6

        b = 5

        c = -25

To solve the polynomial equation we will use quadratic equation

x = -b ±√(b²-4ac) / 2a

Plug values in the equation

-5±√(5²-4(6)(-25)) / 2(6)

-5±√(25 + 600) / 2(6)

-5±√(625) / 2(6)

-5± 25 / 2(6)

-5 + 25 / 2(6)  or -5 - 25 / 2(6)

x = 5/3    or   x = -5/2