Solve each equation using the quadratic formula. find the solutions. x^2 - 6x + 7 = 0

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.

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