X2 - 4X - 11 = 8
subtracting 8 from each side
X2 - 4X - 19 = 0
I do not even try to factor these, but I use the quadratic formula.
X = - b (+/-) sqrt(b2 - 4ac)/2a
a = 1
b = - 4
c = - 19
X = - (- 4) (+/-) sqrt[(- 4)2 - 4(1)(- 19)]/2(1)
X = 4 (+/-) sqrt(16 + 76)/2
X = 4 (+/-) sqrt(92)/2
X = 4 (+/-) sqrt(22 * 23)/2
X = [4 (+/-) 2sqrt(23)]/2
-----------------------------------------exact answer which you can clean up by numerator/denominator eleimination and you can estimate the X intercepts also.
-24
No, it is not.
Yes. It is THE solution.
No solution
No solution
Yes.
8 = Pints in a Gallon
No because x = 2
It is a basic solution
The answer is (3.5)2 plus (4)2 equals 410.
x=2
x=14