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What are the roots of this quadratic equation? 3x^2+10=4x
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What are the roots of this quadratic equation? 3x^2+10=4x
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Mathematics
3 years
2021-08-23T15:02:11+00:00
2021-08-23T15:02:11+00:00 1 Answers
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Step-by-step explanation:
The root of an equation is when x=0.
We need to rewrite this as 3x²-4x+10=0.
The quadratic formula is
(-b+or-sqrt(b²-4ac))/2a
so 4+or-sqrt(16-120)/2a
since the sqrt can no be negative this answer will have imaginary numbers.
(4+2i sqrt(26))6 and (4-2i sqrt(26))6
simplified is
x=(2+i sqrt(26))/3 and x=(2-i sqrt(26))/3