Solve each equation and express your answer in simplest radical form:
1.) -x2 + 4x = 13
2.) 5x - 7x2 = 3x + 4
Just use the quadratic formula.
Use a bit of algebra to get all the terms on one side with 0 on the other.
1.) -x^2 + 4x = 13
-1x^2 + 4x - 13 = 0
a = -1 b = 4 c = -13
The Quadratic Formula is
-b ±√ [ b^2 - 4ac ]
______________
2a
So....the solutions are
-4 ±√ [ 4^2 - 4(-1)(-13) ] - 4 ±√ [ 16 - 52] -4 ±√[ -36]
___________________ = _________________ = __________ =
2(-1) -2 - 2
-4 ± 6i
_______ = 2 ±3i
-2