Question

Which of the following is a solution of x² - 7x = -5?

Answer 1

`\frac{7 - \sqrt{} 29} {2}`

`x {}^(2) - 7x = - 5 \\ x {}^(2) - 7x - ( - 5) = - 5 - ( - 5) \\ x {}^(2) - 7x( - 5) = 0 \\ x {}^(2) - 7x + 5 = 0 \\ x = \frac{ - ( - 7 + \sqrt{( - 7 {) }^(2) - 4 * 5} }{2} \\ x = ( - ( - 7 + √(49 - 4 * 5) )/(2) \\ x = ( - ( - 7) + √(49 * 20) )/(2) \\ x = ( - ( - 7) √(29) )/(2) \\ x = (7 + √(29) )/(2) \\ ( √(29 + 7) )/(2) \\ x = (7 - √(29) )/(2) \\ x = ( √(29 + 7) )/(2) \\ x = (7 - √(29) )/(2)`