Solve each equation using the quadratic formula. Find the solutions.
x^2 - 6x + 7 = 0
2 answers:
Answer:
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.
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
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Step-by-step explanation:
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