If (x - 3)2 = 5, then what values of x make the quadratic equation true? Write your answer in brackets.
The equation should be read as
(x-3)2 = 5
which is
x2 -6x+9 = 5
or
x2 -6x +4 = 0
which is quadratic
having roots as
x = ( 3 +√5 ) and x = (3 -√5)
Christina B.
asked 12/04/20If (x - 3)2 = 5, then what values of x make the quadratic equation true? Write your answer in brackets.
If (x - 3)2 = 5, then what values of x make the quadratic equation true? Write your answer in brackets.
The equation should be read as
(x-3)2 = 5
which is
x2 -6x+9 = 5
or
x2 -6x +4 = 0
which is quadratic
having roots as
x = ( 3 +√5 ) and x = (3 -√5)
Bradford T. answered 12/04/20
Retired Engineer / Upper level math instructor
Two ways to solve this:
(x-3)2 = 5
x-3 = ±√5
x= 3+√5, 3-√5
or
(x-3)2 = x2-6x+9 = 5
x2-6x+4 = 0
Quadratic equation:
x = (6 ±√(36 - 16))/2 = (6 ±√20)/2 = (6 ±2√5)/2 = 3±√5
x= 3+√5, 3-√5
Not sure what they meant by "Write your answer in brackets."
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