Answer: x = the quantity of 5 plus or minus the square root of 29 all over 2
Step-by-step explanation:
The given quadratic equation is expressed as
x² - 5x - 1 = 0
The equation is already in the standard form of ax² + bx + c
The general formula for solving quadratic equations is expressed as
x = [- b ± √(b² - 4ac)]/2a
From the given quadratic equation,
a = 1
b = - 5
c = - 1
Therefore,
x = [- - 5 ± √(- 5² - 4 × 1 × - 1)]/2 × 1
x = [5 ± √(25- - 4)]/2
x = [5 ± √29]/ 2
x = ( 5 + √29)/- 2 or x = (5 - √29)/2
