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What are the roots of the equation

What are the roots of the equation-example-1

2 Answers

5 votes

Answer:

C

Explanation:

3x^2+10=4x

3x^2-4x+10=0 <-- Subtract 4x from both sides

Quadratic Formula:

x = -b±sqrt(b^2-4ac)/2a

x = 4±sqrt[-4^2-4(3)(10)]/2(3) <-- Substitute

x = 4±sqrt(-104)/6

x = 4±isqrt(104)/6 <-- Take out sqrt -1 which is i

x = 4±isqrt(26*4)/6 <-- Simplify sqrt

x = 4±2isqrt(26)/6 <-- Divide numerator and denominator by GCF

x = 2±isqrt(26)/3 <-- Thus, option C is the correct answer

4 votes

Answer:

Explanation:

it would be 2±√26÷3 its C

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