Question

HELLPP ASAP!!!What are the exact solutions of x2 − 5x − 1 = 0 using x equals negative b plus or minus the square root of the quantity b squared minus 4 times a times c all over 2 times a? x = the quantity of 5 plus or minus the square root of 29 all over 2 x = the quantity of negative 5 plus or minus the square root of 29 all over 2 x = the quantity of 5 plus or minus the square root of 21 all over 2 x = the quantity of negative 5 plus or minus the square root of 21 all over 2

Answer 1

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