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Solve by using the quadratic formula.
3x² = 11x + 4
Get 0 on the right by adding -6x + 4 to both sides
3x² - 11x - 4 = 0
Use the quadratic formula:
______
-b ± Öb²-4ac
x = —————————————
2a
where a = 3; b = -11; c = -4
_______________
-(-11) ± Ö(-11)²-4(3)(-4)
x = ———————————————————————————
2(3)
______
11 ± Ö121+48
x = ——————————————
6
___
11 ± Ö169
x = ———————————
6
11 ± 13
x = —————————
6
Using the +,
11 + 13 24
x = ————————— = ———— = 4
6 6
Using the -,
11 - 13 -2 1
x = ————————— = ———— = - ———
6 6 3
So the solutions are 4 and -1/3.
Edwin
