Question

solve: 6x^2-5x-25=0​

Answer 1

Answer:

Given 6x2−5x−25=0

First, let us find α and β such that α+β=−5 and αβ=6×(−25)=−150, where −5 is the coefficient of x. 

Thus, we get  α=−15 and b=10.

Next, 6x2−5x−25=6x2−15x+10x−25=3x(2x−5)+5(2x−5)

=(2x−5)(3x+5)   

Therefore, the solution set is obtained from 2x−5=0 and 3x+5=0

Thus, x=25,x=−35

Hence, solution set is {−35,25} 

Step-by-step explanation:

hope help you