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solve for x in simplest a+bi form:4x^2+17=4x
4x² + 17 = 4x
Get 0 on the right by adding -4x to both sides
4x² - 4x + 17 = 0
Use the quadratic formula:
______
-b ± Öb²-4ac
x = —————————————
2a
where a = 4; b = -4; c = 17
______________
-(-4) ± Ö(-4)²-4(4)(17)
x = —————————————————————————
2(4)
_______
4 ± Ö16-272
x = ——————————————
8
____
4 ± Ö-256
x = ———————————
8
___
4 ± iÖ256
x = ——————————
8
4 ± i(16)
x = —————————
8
4 ± 16i
x = —————————
8
4 16i
x = ——— ± —————
8 8
1 2i
x = ——— ± —————
2 1
1
x = ——— ± 2i
2
Edwin
