Question

Which of the following are solutions to the equation below? 15x^2-46x+35=0

Answer 1

option C and D

Explanation:

15x^2 - 46x + 35=0

First multiply 15 and 35. 15* 35 = 525

Product is 525 and sum is -46

-21 times -25 = 525

-21 +(-25)= -46

break the middle term -46x using factors -21 and -25

`(15x^2 - 21x)+(-25x + 35)=0`

Take out GCf from each group

3x (5x-7) -5(5x-7)=0

Factor out 5x-7

(5x-7)(3x-5)=0

Now we set each factor =0 and solve for x

5x -7 =0

add 7 on both sides and then divide it by 5

x= 7/5

3x -5 =0

add 5 on both sides and then divide by 3

x= 5/3