Solve each equation using the quadratic formula. Find the solutions.

x^2 - 6x + 7 = 0

X^2-6x+7=0

-b + / - sqrt b^2-4ac all over 2a

a=1 b = - 6 and c=7

6+ / - sqrt 36-4*1*7 all over 2*1

6+ / - sqrt 8 all over 2

6+ / - 2sqrt2 all over 2

reduce

3+ / - sqrrt2

3±√2

Step-by-step explanation:

Given quadratic equation is:

x²-6x+7=0

Quadratic formula is:

x = (-b±√b²-4ac) / 2a

ax²+bx+c=0 is standard quadratic equation.

Comparing given equation with standard equation, we get

a=1, b=-6 and c=7

Putting above values in quadratic formula, we get

x = ( - (-6) ±√ (-6) ²-4 (1) (7)) / 2 (1)

x = (6±√36-28) / 2

x = (6±√8) / 2

x = (6±2√2) / 2

x=2 (3±√2) / 2

x=3±√2 is the solution of given quadratic equation.