Question

X2 - 7x + 9 =0 please leave answer in surf form and simplify ​

Answer 1

Using quadratic formula again :)

Answer 2

x =
`(7)/(2)` ±
`(√(13) )/(2)`

Explanation:

Given

x² - 7x + 9 = 0 ( subtract 9 from both sides )

x² - 7x = - 9

Solve using the method of completing the square

add ( half the coefficient of the x- term)² to both sides

x² + 2( -
`(7)/(2)` )x +
`(49)/(4)` = - 9 +

(x -
`(7)/(2)` )² =
`(13)/(4)` ( take the square root of both sides )

x -
`(7)/(2)` = ±
`\sqrt{(13)/(4) }` = ±
`(√(13) )/(2)` ( add

x =
`(7)/(2)` ±
`(√(13) )/(2)` =
`(7+/-√(13) )/(2)`