Question

Find the solutions to the equation below check all that apply

6x^2+7x-5=0

A. x=-2
B. x=-5/3
C. x=1/2
D. x=-1/3
E. x=5
F. x=1/3

Answer 1

the answers are x = 1/2 and x = -5/3. I hope this helped you, have a great day.

Answer 2

Answer: The correct options are

(B)
`x=-(5)/(3)`

(C)
`x=(1)/(2).`

Step-by-step explanation: We are given to find the solutions to the following quadratic equation :

`6x^2+7x-5=0~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)`

We need to find two integers with sum 7 and product -30.

The solution of equation (i) is as follows :

`6x^2+7x-5=0\\\\\Rightarrow 6x^2+(10-3)x-5=0\\\\\Rightarrow 6x^2+10x-3x-5=0\\\\\Rightarrow 2x(3x+5)-1(3x+5)=0\\\\\Rightarrow (2x-1)(3x+5)=0\\\\\Rightarrow 2x-1=0,~~~~~3x+5=0\\\\\Rightarrow x=(1)/(2),-(5)/(3).`

Thus, the required solutions of the given equation are
`x=(1)/(2),-(5)/(3).`

Options (B) and (C) are CORRECT.