Question

6x^2-5x+3 - (3x^2+8x-4)

Answer 1

`x1 = (13 - √(85) )/(6)`

`x2 = ( 13 + √(85) )/(6)`

Explanation:

`6 {x}^(2) - 5x + 3 - (3 {x}^(2) + 8x - 4)`

`6 {x}^(2) - 5x + 3 - 3 {x}^(2) - 8x + 4`

`3 {x}^(2) - 13x + 7 = 0`

a = 3, b = -13, c = 7

`d = {b}^(2) - 4ac = ({ - 13})^(2) - 4 * 3 * 7 = 169 - 84 = 85 > 0`

`x1 = ( - b - √(d) )/(2a) = (13 - √(85) )/(2 * 3) = (13 - √(85) )/(6)`

`x2 = ( - b + √(d) )/(2a) = (13 + √(85) )/(6)`