SOLUTION: Find the Imaginary solution 49x^2-84x+61=0

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Question 50360: Find the Imaginary solution 49x^2-84x+61=0
Answer by tutorcecilia(2152) About Me  (Show Source):
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49x^2-84x+61=0 [Apply the quadratic formula]
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
.
[Plug-in the values]
a=49
b=-84
c=61
.
x=%28%2884%29+%2B-+sqrt%28+%287056+-+%2811956%29%29+%29%29%2F%28%2898%29%29+
.
x=%28%28%2884%29+%2B-+sqrt%28+%28-4900%29%29+%29%29%2F%28%2898%29%29%29+
.
x=%28%28%28%2884%29+%2B-+sqrt%28+%28-1%29%284900%29%29+%29%29%2F%28%2898%29%29%29%29+
.
x=%28%28%2884%29+%2B-+70+%28sqrt%28+%28-1%29%29%29+%29%29%2F%28%2898%29%29%29%29+
.

x=%28%2884%2F98%29+%2B-++70+i+%2F%28%2898%29%29%29%29+
.
x=%28%2842%2F49%29+%2B-++35+i+%2F%28%2849%29%29%29%29+ [Reducing the fractions]