I need to simplify the solution and rationalize the denominators
-3Xsquared+18x+30=0
thanks
-3Xsquared+18x+30=0
thanks
-
-3x^x + 18x + 30 = 0
..-3(x^2 - 6x - 10) = 0 you can't factor this any further so you'll have to use the quadratic equation:
-b±√(b^2-4ac).....6±√(6^2-4(1)(-10))
-------------------- = -------------------------- =
........2a.......................2(1)..…
6±√(36+40)......6±√(76
------------------ = ----------- now split into two equations
........2.................2.....
6+√(76)....6.....√(4*19)..........2√19
----------- = --- + ----------- = 3 + ------- = 3 + √19
.....2.........2.........2.............…
6-√(76)....6.....√(4*19).............2√…
---------- = --- - ------------- = 3 - ----------- = 3 - √19
.....2........2.........2..............…
x = 3 + √19, 3 - √19
x ~ 1.36, -1.36
..-3(x^2 - 6x - 10) = 0 you can't factor this any further so you'll have to use the quadratic equation:
-b±√(b^2-4ac).....6±√(6^2-4(1)(-10))
-------------------- = -------------------------- =
........2a.......................2(1)..…
6±√(36+40)......6±√(76
------------------ = ----------- now split into two equations
........2.................2.....
6+√(76)....6.....√(4*19)..........2√19
----------- = --- + ----------- = 3 + ------- = 3 + √19
.....2.........2.........2.............…
6-√(76)....6.....√(4*19).............2√…
---------- = --- - ------------- = 3 - ----------- = 3 - √19
.....2........2.........2..............…
x = 3 + √19, 3 - √19
x ~ 1.36, -1.36