which are the solutions of the quadratic equation?
Solution:- Given equation x^2 = 9x + 6
We can write this X^2-9x-6=0
After matching with ax^2+bx+c=0, so we get
a=1 ,b=-9 and c=-6
For value of x using this formula
X={-b+-√(b^2-4ac)}/2a
So, X={-(-9)+-√((-9)^2-4×1×(-6))}/2×1
X=[9+-√(81+24)]/2
X=(9+-√105)/2
For +ve value of x
X=(9+√105)/2
For -ve value of x
X=(9-√105)/2
the solutions of the quadratic equation are
(9+√105)/2 and (9-√105)/2.
