Which of the following is a solution of x^2-7x=5

x=

7

2

+

1

2

√69 or x=

7

2

+

-1

2

√69

Step-by-step explanation:

Step 1: Subtract 5 from both sides.

x2-7x-5=5-5

x2-7x-5=0

Step 2: Use quadratic formula with a=1, b=-7, c=-5.

x=

-b±√b2-4ac

2a

x=

- (-7) ±√ (-7) 2-4 (1) (-5)

2 (1)

x=

7±√69

2

x=

7

2

+

1

2

√69 or x=

7

2

+

-1

2

√69