Question

How do you solve `25x²=20x+6` using the quadratic formula?

Answer 1

`x =(2+sqrt10)/5 and x =(2-sqrt10)/5`

Explanation:

`25x^2=20x+6`
`=>25x^2-20x-6=0`
`=>(5x)^2-2.5x.2+2^2-4-6=0`
`=>(5x)^2-2.5x.2+2^2=4+6`
`=>(5x-2)^2=10`
`=>(5x-2)=+-sqrt10`
`:. x =(2+sqrt10)/5 and x =(2-sqrt10)/5`