What are the roots of the equation 12 = 3x²
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What are the roots of the equation 12 = 3x²
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Answer:
the roots of the equation 12= 3x are 2 and -2
Step-by-step explanation:
solve for the value of x.
12 = 3x²
divide both sides of the equation by 3.
4 = x²
find the square root of both sides of the equation
±2 = x
therefore, -2 and 2 are the roots of the equation.
we can check this by substituting the 2 and -2 in the equation
12 = 3x²
12= 3(2)²
12= 3(4)
12 = 12
12 = 3x²
12 = 3 (-2)²
*in solving for the square of negative numbers, the answer is always positive.
12 = 3(4)
12= 12
the answer satisfies the equation therefore it is correct.
hope it helps!