Answer :
Final answer:
The roots of the equation 3x⁴+16x²+21=0 are x = -3 and x = -1.
Explanation:
To find the roots of the equation 3x⁴+16x²+21=0, we can use the quadratic formula. In this case, a = 3, b = 16, and c = 21. Substituting these values into the formula, we have:
x = (-16 ± √(16)² - 4(3)(21)) / (2(3))
Simplifying the equation gives:
x = (-16 ± √(256 - 252)) / 6
x = (-16 ± √4) / 6
x = (-16 ± 2) / 6
Therefore, the roots of the equation are:
x = -3, x = -1
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