Question

How do you solve `9x^2 -2x +4=10x`?

Answer 1

`x=3/2`

Explanation:

We know that, `color(red)(a^2-2ab+b^2=(a-b)^2)`
So,
`9x^2-2x+4=10x`
`rArr9x^2-12x+4=0`
`rArr(3x)^2-2(3x)(2)+(2)^2=0`
`rArr(3x-2)^2=0`
`rArr(3x-2)=0`
`rArr3x=2`
`x=3/2`